Girlfriend has been talking to her ex, behind my back, but deletes the messages and proof any advice?

Anonymous
Been with this girl for 2 months. We're together 24/7. She did just get out of a 3 year relationships, 2 weeks before we got together.

the first month together she didn't talk to her ex at all.

going into the 2nd month she has intiated contact with him. She has called him, texted him, even tired face timing him. But she only does it when we're not together. (I pay for her bill so I see this.)

last week she contacted him 3 days straight. But I don't get it. She always says she loves me but if you truly loved someone then why are you still in contact with your past. Matter of fact why would she intiate contact with him if she got me
Girlfriend has been talking to her ex, behind my back, but deletes the messages and proof any advice?
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