This particular passage of scripture is very special to me.
I was not saved, I was Catholic but I had become interested by a gospel minister and had bought a bible, the Living bible a version I would heartily recommend.
I was reading this very chapter on a long train journey. All those sins, big black words full of thunder, reprobate ... dear me, how awful it all is.
I turned the page to chapter 2 and got a shock [in the Living bible] "Just a minute, you may be thinking how awful these people are but YOU are doing the very same things"
It fell on me like a ton of bricks. All those people who fall into that great list of sin can be saved ... you may say reprobate means they cannot. When it says God gave them up you may think He has given them up forever. Stop thinking that way. You are or were Just like them. God had mercy upon me and you and He will have mercy.
You speak about Sodom and Gomorrah ... do you believe the present day miracles? Sodom and Gomorrah would have repented and many who are living the reprobate lifestyle today are finding Christ through miracle ministry.
Think carefully.
The doctrine of God's election is everywhere throughout Scripture so that men would fear God and not think they could save themselves. You would do well to peruse some of those verses below.
I thank God that He chose me for I would have never chosen Him unless He first chose me!
41 Bible Verses about election, to salvation