Is this acceptable?

My mans used to have a crush on a girl before I was dating him, almost 2 years ago. I didn’t like him texting her, so he told me he would stop awhile ago. I just saw his phone and noticed she texted him, but they’d been having a whole conversation, not sure what it was about because I didn’t even want to look. i saw one text he wrote to her “if you still had ps4 I would play with you 😋” But it feels so weird that after he told me he wouldn’t text her, he still is. Am I overreacting?

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