last straw

Let me start off saying I’m not from here and I don’t speak English well so hopefully this make sense.

My husband and I been together for 8 years married 6 yrs with 2 sons.

We married young and every mistake we made was forgiven? But once we got married we made rules out of respect like with opposite sex friends and what not. Nothing crazy. BUT 3-4 years ago my husband cheated on me. We’ve had to work thru it very hard but ever since then he hasn’t been physical but flirting thru text, calls and stuff with his co workers. At this point no of us has opposite sex friends. I don’t work so I literally have no friends. But his work requires to talk with female workers which is normal but when I see texts between them, it’s very flirty. With emoji and very nice comments. He doesn’t have social media since that caused him to look at women and women only (wasn’t for long lost family members or for me) it’s been like this for 3 years now on and off. Arguments after arguments. I’m so tired of telling him how hurt I am or it’s wrong for him to be “that” guy at work. Lately we been so busy with kids 2 under 2 that I thought everything was good and when I do check his phone, nothing was found and he’s been actually very nice and loving to me and I love watching him with the kids. Now.. tonight I checked his phone and he has searched(google) every girls he works with like 6 women and one of them being his ex before we got together. That’s 8 years ago.... I know googling for their profile linkden Facebook or whatever doesn’t sound big deal but I’m soooo over it now. I’m not mad like I used to. I’m not crying this time. I’m numb. Why is he googling his ex? I have right to get mad and I’m not crazy right? Overreacting? Idk anymore. What am I to do ?