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You have to ask why he had this "emotiona" affair for 2 months which would have continued unless you hacked his phone.
What made you hack his phone? Its a gross invasion of his privacy.
You should stay if you feel this is likely to be a one-off thing and that you can put yourselves back on track. Your husband clearly felt a little left out of your life together to engage in an emotional affair and so close to home (i. e. at work where it was easy to get someone's attention as opposed to hitting a bar and starting from scratch).