Can a Christian be saved even if they do not repent of their sins?

Is it true when people say “Unless you repent of your fornication, you repent of your drinking, unless you repent of this specific sin that you’re not really saved?”

Answer: No, we do not believe in that. Christians can still be saved, no matter what sin he commits.

The Bible shows in 2 Corinthians 12:19 “dearly beloved for your edifying.”

So, Paul is speaking to the Corinthians and calls them beloved. When you’re in the beloved, that means you are saved.

In Ephesians 1:6, it says “to the praise of the glory of his grace when he hath made us accepted in the beloved.”
So if you’re in the beloved, you’re saved.

But Paul says in 2 Corinthians 12:21 that the beloved did not repent of the specific sin, they have not repented
of the uncleanness and fornication and lasciviousness, which they have committed.

Ephesians 4:30 points out no matter how much we grieve the Holy Spirit with your sin, you are sealed all the way till the day of redemption to the end.

For more information, check out this article on Lordship salvation.