Let's say he is telling the truth. As a favor to his (married) friend, your dh got the info together about how to secure an escort, sex, or whatever it is, complete with profile pics of these escorts, and a conversation with one of them about where to meet, etc. and then he sent it to his friend.
Think about this for a minute. How did he know to do this?
A. He's done it before, that's how.
Does your dh think it's ok for a married man to pay for an escort/stranger sex and put his wife at risk of her life?
A. Yes, he does. Connect the dots. The very close together dots.
He claims he himself has never done it. What??!
He is an OLD HAND at doing it. Look at the screenshot!
When you confronted him, he immediately ran away for hours to figure out how he could spin this incredibly complicated and "long story."
He's a liar. If you need more evidence, I'm sure there's plenty of it if you look. Let the detective in you show you reality.
Get checked out, get a lawyer, and get yourself far away from this loser. Your children and you deserve much better. He's not even around that much, and now you know what he's been doing instead of being a husband and father. At the very least, he gets on these websites and knows how to get escorts or hookers. Come on, Op!
I like Maman79's way of thinking.