Boyfriend being weird about phone.

Caught my boyfriend about two weeks ago texting his ex, which he hid her name in his phone as a guy ... He told her he loved her & she confessed how much she loved & missed him. I found out bc he let me us his phone to look up something on google and just so happens this tony guy was texting him. But turns out tony is really his ex. I called him out and he played dumb until he knew I wasn't stupid & he told me he loved and cared for her as a friend. We talked it out and I forgave him... However he still acts so shady w his phone. Won't have it in the room when we sleep at night. Or puts it face down behind the tv if it is in the room. Please help. This is really me getting down. I don't want to snoop but I'm having a hard time fighting that urge bc of what he's done.