Can we ever Trust Each other

Ive been in this relationship for nearly 2 years. It came about because we had an affair with each other. We ended the relationships with our other partners
We love each other so much, but we just can't seem to get other the Trust issue.
When we are together it is really good, we have fun and are happy being in each others company. It's just when we are not the suspicions started to appear and eat into me.
I start to think is he looking for someone else is he seeing someone else.

Is it possible to get over this suspicion or should we just end it?
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