Here is Paul informing the church of the fact of Predestination. I'll write what Paul wrote, and then I will translate it into English, that all may understand.
Ephesians 4-13:
4. He chose us in Him before the foundation of the world (i.e. Cosmos), that we would be holy and blameless before Him.
God knew us, chose us, before the foundation of the world [Gr. cosmos], and that we would be Holy and Blameless before Him
5. In love He predestined us to adoption as sons through Jesus Christ to Himself, according to the kind intention of His will,
We were predestined to adoption as sons through Jesus Christ, according to His kind will.
6 to the praise of the glory of His grace, which He freely bestowed on us in the Beloved.
And by His grace, this, God freely bestowed upon us in Jesus.
7. In Him we have redemption through His blood, the forgiveness of our trespasses, according to the riches of His grace
In Jesus we have redemption through His BLOOD, the forgiveness of our sins, by His rich graces we are redeemed.
8 which He lavished on us. In all wisdom and insight
It's a gift to us, well planned out before time.
9 He made known to us the mystery of His will, according to His kind intention which He purposed in Him
He revealed this truth of his kind intention through Jesus Christ
10 with a view to an administration suitable to the fullness of the times, that is, the summing up of all things in Christ, things in the heavens and things on the earth.
According to God's timing and plan etc.
11 In Him also we have obtained an inheritance, having been predestined according to His purpose who works all things after the counsel of His will,
We Have Obtained (past tense) an inheritance, as predestined according to God's will, work, and purpose
12 to the end that we who were the first to hope in Christ would be to the praise of His glory.
The early Christians receiving the fulfillment of the above plans of God first.
13 In Him, you also, after listening to the message of truth, the gospel of your salvation — having also believed, you were sealed in Him with the Holy Spirit of promise
We listened to the message of truth (gospel), and we believed Jesus message of our salvation, Thereby this faith we were sealed in Jesus with the Holy Spirit Jesus promised us (the indwelling Paraclete, God in me).
14 who is given as a pledge of our inheritance, with a view to the redemption of God's own possession, to the praise of His glory.
The Holy Spirit in us is Jesus's pledge (pledge = Security down payment) of our inheritance until (the time of) the full ransom of Jesus's acquisition of us unto the praise of His glory.
Eph 2:1-10
"And you were dead in your trespasses and sins, in which you formerly walked according to the course of this world, according to the prince of the power of the air, of the spirit that is now working in the sons of disobedience. Among them we too all formerly lived in the lusts of our flesh, indulging the desires of the flesh and of the mind, and were by nature children of wrath, even as the rest.
But God, being rich in mercy, because of His great love with which He loved us, even when we were dead in our transgressions, made us alive together with Christ ( by grace you have been saved), and raised us up with Him, and seated us with Him in the heavenly places in Christ Jesus, so that in the ages to come He might show the surpassing riches of His grace in kindness toward us in Christ Jesus.
For by grace you have been saved through faith; and that not of yourselves, it is the gift of God; not as a result of works, so that no one may boast.
For we are His workmanship, created in Christ Jesus for good works, which God prepared beforehand so that we would walk in them."
And Paul wrote This about Predestination:
Ro 9:6-26
6 But it is not as though the word of God has failed. For they are not all Israel who are descended from Israel; 7 nor are they all children because they are Abraham's descendants, but: "THROUGH ISAAC YOUR DESCENDANTS WILL BE NAMED." 8 That is, it is not the children of the flesh who are children of God, but the children of the promise are regarded as descendants. 9 For this is the word of promise: "AT THIS TIME I WILL COME, AND SARAH SHALL HAVE A SON." 10 And not only this, but there was Rebekah also, when she had conceived twins by one man, our father Isaac; 11 for though the twins were not yet born and had not done anything good or bad, so that God's purpose according to His choice would stand, not because of works but because of Him who calls, 12 it was said to her, "THE OLDER WILL SERVE THE YOUNGER." 13 Just as it is written, "JACOB I LOVED, BUT ESAU I HATED."
14 What shall we say then? There is no injustice with God, is there? May it never be! 15 For He says to Moses, " I WILL HAVE MERCY ON WHOM I HAVE MERCY, AND I WILL HAVE COMPASSION ON WHOM I HAVE COMPASSION." 16 So then it does not depend on the man who wills or the man who runs, but on God who has mercy. 17 For the Scripture says to Pharaoh, "FOR THIS VERY PURPOSE I RAISED YOU UP, TO DEMONSTRATE MY POWER IN YOU, AND THAT MY NAME MIGHT BE PROCLAIMED THROUGHOUT THE WHOLE EARTH." 18 So then He has mercy on whom He desires, and He hardens whom He desires.
19 You will say to me then, "Why does He still find fault? For who resists His will?"
20 On the contrary, who are you, O man, who answers back to God? The thing molded will not say to the molder, "Why did you make me like this," will it? 21 Or does not the potter have a right over the clay, to make from the same lump one vessel for honorable use and another for common use?
22 What IF God, although willing to demonstrate His wrath and to make His power known, endured with much patience vessels of wrath prepared for destruction? 23 And He did so to make known the riches of His glory upon vessels of mercy, which He prepared beforehand for glory, 24 even us, whom He also called, not from among Jews only, but also from among Gentiles. 25 As He says also in Hosea,
" I WILL CALL THOSE WHO WERE NOT MY PEOPLE, 'MY PEOPLE,'
AND HER WHO WAS NOT BELOVED, 'BELOVED.'"
26 "AND IT SHALL BE THAT IN THE PLACE WHERE IT WAS SAID TO THEM, 'YOU ARE NOT MY PEOPLE,' THERE THEY SHALL BE CALLED SONS OF THE LIVING GOD."
NASU
However, Paul does write about the salvation of the Jews in Romans Chapter 11
Ro 11:25-32
25 For I do not want you, brethren, to be uninformed of this mystery — so that you will not be wise in your own estimation — that a partial hardening has happened to Israel until the fullness of the Gentiles has come in; 26 and so all Israel will be saved; just as it is written,
"THE DELIVERER WILL COME FROM ZION,
HE WILL REMOVE UNGODLINESS FROM JACOB."
27 "THIS IS MY COVENANT WITH THEM,
WHEN I TAKE AWAY THEIR SINS."
28 From the standpoint of the gospel they are enemies for your sake, but from the standpoint of God's choice they are beloved for the sake of the fathers; 29 for the gifts and the calling of God are irrevocable. 30 For just as you once were disobedient to God, but now have been shown mercy because of their disobedience, 31 so these also now have been disobedient, that because of the mercy shown to you they also may now be shown mercy. 32 For God has shut up all in disobedience so that He may show mercy to all.
NASU
From the above, it is plain to see that we are all Predestined by God from the Foundations of the Cosmos, saved not by our works, but by His mercy, Love, Kindness, and compassion for us. For God Predestined Jews and gentiles to be purified in the fiery Cauldron of the Cosmos, but predestined us to enter the Kingdom, which He created for us at the same time He made The Cosmos.