As I said you are reading into the text that 'they' are jews.
Paul is pointing out that Jesus is indeed the seed of David and raised from the dead.. what follows? Paul says 'this is my Gospel'. This gospel, the one gospel message goes out to all men. Paul suffers for the gospel for the sake of the elct that they may also be saved like him and Timothy etc etc.
Paul, a servant of Christ Jesus, called to be an apostle and set apart for the gospel of God— 2 the gospel he promised beforehand through his prophets in the Holy Scriptures 3 regarding his Son, who as to his earthly life was a descendant of David, 4 and who through the Spirit of holiness was appointed the Son of God in power by his resurrection from the dead: Jesus Christ our Lord. 5 Through him we received grace and apostleship to call all the Gentiles to the obedience that comes from faith for his name’s sake. 6 And you also are among those Gentiles who are called to belong to Jesus Christ. Romans 1:1-7
Do you see the point. Paul is referring to his gospel. and this gospel MMMMm who did Paul mainly take it to?
My point is to show that the elect, also need salvation, meaning that they do not automatically have salvation.
Some try to frame they word elect as meaning “automatically and irreversible saved”.
I a person believes the elect are they only people who are saved, then this verse directly refutes this concept.
Paul suffered much from unbelieving Jews, whom he brought the Gospel to.
It was his custom to go to the Jews first, in every city he was sent to preach.
He would go to the synagogue and try and reason with them because they were familiar with the scriptures and would make good teachers when saved.
Paul recounts some of the things he suffered from the Jews —
From
the Jews five times I received forty stripes minus one.
Three times I was beaten with rods; once I was stoned; three times I was shipwrecked; a night and a day I have been in the deep; 2 Corinthians 11:24-25
So when he says
for which I suffer trouble as an evildoer, it‘s clear to me that he is referring to the unbelieving Jews, who considered him an evil doer, a false teacher and a deceiver of the Jewish people.
Remember that Jesus Christ, of the seed of David, was raised from the dead according to my gospel,
for which I suffer trouble as an evildoer, even to the point of chains; but the word of God is not chained.
Therefore I endure all things for the sake of the elect, that they also may obtain the salvation which is in Christ Jesus with eternal glory.
2 Timothy 2:8-10
Paul also said this in his passion to see the Jews saved —
I tell the truth in Christ, I am not lying, my conscience also bearing me witness in the Holy Spirit, that I have great sorrow and continual grief in my heart.
For I could wish that I myself were accursed from Christ for my brethren, my countrymen according to the flesh, Romans 9:1-3
If you don’t recognize that Paul is referring to the elect as Jews in 2 Timothy 2:10 then so be it.
Do you believe the “elect” refers to believing elected for salvation, while the others are elected for damnation?
JPT