Is it suspicious if your boyfriend gives you his passwords but he has 2 factor authentication?

I've been with my boyfriend about a year and I have been asking him for passwords for a while now because I've been cheated on before and I want to make sure he's not talking inappropriately to other girls but he was refusing and we've fought about it to many times but I persisted and he eventually gave in and gave me his IG and FB passwords but when I went to try them he had 2 Factor Authentication on them and when I confronted him about it he LAUGHED and said it's for security purposes he's always used that but I reckon he turned it on before giving me the passwords what do you think and what should I do?

Yes it is suspicious
No it isn't suspicious
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Is it suspicious if your boyfriend gives you his passwords but he has 2 factor authentication?
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