when the husband is working away from the wife, men are weak from that side and he coming out and admitting it may be that he is feeling the guilt

I am afraid no way this will easily come to an end as long as he is away ... a vacation is a good idea maybe counesling is anothet option and if it would be possible for the family to be reunited here or there

If not possible, some time the hard decision to quit the job and go back home is the right one

God be with you and if he is honest may God give him strength to end the relation

"The best way to predict the future is to create it".