Yes, the word elect must be included to be in view of the context.
God so loved the world… the elect refers to the Jews.
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 2:10
Here we see Paul desiring that they elect would also obtain salvation.
Elect refers to the Jews; God’s chosen people.
The Jews were chosen, not for salvation, but to be the bloodline of the Messiah.
(for the children not yet being born, nor having done any good or evil, that
the purpose of God according to election might stand, not of works but of Him who calls), Romans 9:11
Elect; election refers to
elected for purpose, not elected for salvation.
If you believe elect refers to elected for salvation, then you are in gross error and are teaching an unbiblical concept.
Here is some context for verse 11 from Romans 9 —
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, who are Israelites, to whom pertain the adoption, the glory, the covenants, the giving of the law, the service of God, and the promises; of whom are the fathers and from whom, according to the flesh, Christ came, who is over all, the eternally blessed God. Amen. Romans 9:1-5
- of whom are the fathers and from whom, according to the flesh, Christ came,
The context of Romans 9 is clear, and refers to the people God chose, elected, to be bloodline through which the Messiah would come.
IOW’s He chose Jacob over Esau, not for salvation, but for the PURPOSE of being the lineage of the Messiah.