Good question, Kermit !
For our Monmouth/Ocean MLS Board, if the accepted offer is not yet out of attorney review, then it is normal and customary for that property to be noted in the Multiple Listing system as: active.
However, when attorney review concludes, then the property should be logged as: Under Contract. With that stated, many times a property is labled as: Under Contract with a note 'continue to show' mainly for back up offers, which is typical to practice, in this market.
Yet, I do know of Brokers/Agencies that still allow a listing to be marked as "active" in the system with a note to the agents to show for back-up offers only.
Hope this helped! Feel free to reach out to me with any other questions or scenarios. 732-306-3062.