Should I break up?

My boyfriend opened up about having mutual feelings for a girl for almost 5 years without talking to her. He said that it started coz she glanced over at him from across the room and that he'd hide behind a wall and just watch her from a distance each time he sees her but they never approached eachother due to cultural differences. He said it all ended 2 years ago and we only recently got into a relo, but even though he shares public photos with me, he still goes to the extent of coding our pics to hide them from her. It's like to make sure his 'ex' doesn't even know he's in a relationship with me.
Should I break up?
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