<human>: Hello, I have been dating or should i say seeing this girl for almost 4 months. We met at a bar, and everything was going great. We have been spending a lot of time together, and doing "couple" things when we are out. I really like this girl, but she got out of a relationship about 7 months ago. Keep in mind it was a 4 year relationship. I clearly want a relationship but she is not ready to commit yet. I've talked to her about it and she told me that which is understandable. I told her I am willing to wait.

However, Something came up that really got to me. One day I saw she was texting her ex, and I kinda got upset. She quickly noticed that. I got sorta irritated because she was texting him in front of me. This is what led me on to a an argument later on.... 3 days past and i felt weird about things it was 'different" so i got a hold of her and asked if we can talk to diffuse what ever it was making us feel this way. I told her how i feel about the ex thing, and she apologized, and said it was wrong for doing that in front of you. She said if he does text her and she is with me she will do it on her own time.
Side note the ex lives in another state which she goes and visits her family almost once a month.

Question: What should I do?
After the conversation we had things have been back to normal and great, but what got to me was that she opened her messages infront of me and I saw a text from him. I didn't get a chance to see when he sent it, but he is still "I think" texting her. Should i talk to her again about it or just let it be. Since She is here with me and he is thousands of miles away.

Looking forward to the feedback

Condense the text into a few key points
<bot>: Should I bring the ex boyfriend up again if i see his name or should I leave it and not bother until i have some suspicion?