Did mark Anthony and Cleopatra ever divorce?

Marc Antony and Cleopatra could never have divorced because they were never legally married. Most historians believe that their "marriage" was merely symbolic of their political alliance and announced to impress the Egyptian people. Antony was already married to a Roman wife at the time. Even if he did not already have a wife, a marriage between a Roman and a foreigner was illegal. So without a marriage, there could be no divorce.