Hello again. No, I don't need any additional information at this time. Here is your answer:
Pursuant to OR law, a person commits the crime of bigamy if the person knowingly marries or purports to marry another person at a time when either is lawfully married. Here is a link to the statute:
Since the state does not recognize same-sex marriage as valid, you would not typically be violating the state's law prohibiting bigamy if you were to remarry without getting a divorce.
The problem may come later, if you move to a state which does recognize same-sex marriages as valid. In that state, you could potentially be charged with bigamy if married to two different individuals.
Because of this potential risk, it would normally be best to seek a dissolution or annulment of the first marriage before remarrying.
I hope this helps clarify the situation for you. Please remember to rate my service once you have all the information you need. If you have any other questions, please ask me – I’ll be happy to respond. Thank you!