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Are the circumstances of the conviction ever reason for reversing a divorce granted on grounds of incarceration?

No. Even if the spouse was wrongfully convicted by a biased jury and prejudiced judge, it does not matter. The cause of the divorce -- imprisonment -- happened. The divorce and the incarceration, from a legal standpoint, are related (the same individual is a party in both) but separate actions. Even though the first was wrongful, the second was legitimate.

Under these circumstances the best this couple could do would be to remarry.