<human>: Really confused right now and need to get some outside opinions. My girlfriend left her phone unlocked with her messages up, I picked up her phone thinking she was browsing reddit, and discovered her texts with her ex-boyfriend. She and her ex-boyfriend were very close and I know that they still talk frequently but what I read absolutely shocked me. 

She was in the middle of typing "Hi pumkin, I made it home, I miss you and I love you <3". She tells him she loves him everyday, refers to him as her baby/boo and sends nicer text messages to him than I ever get. The worst one being him saying he wanted to be nibbling on her and her responding "I want you to be nibbling on me ;)". 

I immediately confronted her about these texts and she told me that I was reading to far into it, that she had no physical relationship with her ex and that I was the only one she cared about. Things are stable right now, but I can't stop thinking about this. I care for her more than anything and the last thing I want to do is to leave her but I won't stand for being treated like this. What is the best way to move forward/salvage this (if any)? I am leaning towards asking her to simply stop referring to him as her baby/boo, I want her to be able to have a healthy relationship with her ex, but if I am truly the one she cares about now and am her baby/boo, then she has no right to be using these terms with her ex. Thoughts?

Give me a shortened version of the text
<bot>: Girlfriend still talks to her ex like her boyfriend, but says that I am her "one and only" and not to worry about it.