My wife won't share her Facebook password, what should I do?

Anonymous
My wife and I are a young couple early 20's, we have been married 5 years together for 10. Before we were married we had a number of small break ups and in every case she would be talking to or haveing sex with another guy hours or days later. Since we've been married there have been no issues, but when we're sitting next to each other and she's on her phone she will hold it at an angle so I can't see if I try to look she get pissy and tell me to go away. Now she knows all of my passwords and checks my phone everyday after work I have no secrets. So I asked her what her password is and she got mad saying the usual " are you serious? You can get on my Facebook whenever you want". True but I can only get on through her phone which gives her plenty of time to delete messages. So anyway she refused. So what should I do? How do I approach this? I feel like if she has nothing to hide, why not give it to me? And since she knows all my passwords why can't I know hers?
My wife won't share her Facebook password, what should I do?
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