Can you elaborate on the involvement of women in Greek drama?

Women weren't allowed to be actors, so they had the men play women. Being a man playing a woman was considered degrading to the actor so no one really ever wanted the part of a woman so the play writes stopped including woman in plays as much until the Shakespeare times where you end up having Romeo and Juliet, & the Helena in Midsummer nights dream. But as far as greek goes, women weren't involved that much if not at all because they were thought of as less.