Complex sentence: While a divorce without genuine residency is likely if challenged to be declared invalid, in some jurisdiction it is, by case law, not considered bigamy if you remarry as long as the obtainer believed the divorce to be valid.
Split into simpler sentences: While a divorce without genuine residency is likely to be declared invalid. In some jurisdiction it is, by case law, not considered bigamy if you remarry as long as the plaintiff believed the divorce to be valid.