<human>: Can you give me a shortened version of the text?

I snooped. I know I shouldn't have, but his computer isn't working and he was signed into his chrome on my computer. He was getting messages from a friend whom he confides in, and I noticed my name and a message asking "are things better?" 

I knew we were kinda on the rocks for a little bit, but I decided to dig deeper and read the message history. I found out that he almost cheated with an ex-fling of his, but decided not to because it wasn't "who he was." Apparently this ex-fling has a history of sleeping with people who aren't single, but she couldn't bring herself to sleep with him. I completely trust him and never expected him to cheat and I'm sure he didn't cheat with her from those messages, although I'm not sure what constitutes cheating for him. 

I really don't like snooping through his chat logs because his ex girlfriend used to do that and he resented her for it. I would've spoken to him about it, but I didn't have the guts to. 

I've known for about two weeks now, and he hasn't brought it up since he's been home (a little under a month.) We have a new puppy and he is taking up all our time, but we did talk through our issues before he came back from his vacation and we have been doing much better. Should I be bothered by this? I feel a little taken aback, but he didn't actually cheat. Advise if you can! Thanks so much guys.
<bot>: Snooped through bf's fb, found a convo that said he almost cheated on me while he was in his hometown for two weeks; seeking advice on further action.