What would you do if you thought your partner was contemplating cheating but hadn't committed the act?

How would you approach this situation or talk to your partner themselves?

An accusation like this is very serious and a false one can hurt a relationship very much. But in this case there's no way to prove anything because the act didn't so if you continue the relationship, regardless of whether you were right or wrong, your partner will always be able to hold it against you and claim that you're "paranoid".

What would you do if you thought your partner was contemplating cheating but hadn't committed the act?
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