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This is what Jesus said and I hope it helps. The way I read it is that if one partner is unfaithful then that partner has committed adultery, which we know. But then it says if the reason for divorce was unfaithfulness then that leaves the other partner free to remarry.
But now I (Jesus) tell you: if a man divorces his wife for any cause other than her unfaithfulness, then he is guilty of making her commit adultery if she marries again; (Matthew 5:31)
I (Jesus) tell you, then, that any man who divorces his wife for any cause other than her unfaithfulness, commits adultery if he marries some other woman." (Matthew 19:9)
The exception to the rule seems to be that it is OK to remarry if your other-half was unfaithful?
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