My boyfriend always hides his phone screen?

My boyfriend always hides his phone screen or when we are laying together he lay a certain way so I can’t see his screen i addressed him about this today and he said he hides his phone screen because I’m nosey and always try to look on his phone but he is always looking on my phone every time I text someone and I never had to hide my phone from him should I be concerned that he’s doing this? He said he is not talking to anyone else and we are supposed to be moving in together next week
My boyfriend always hides his phone screen?
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