Hi @Victoria_Smith , welcome to the Asana Community Forum
It is not currently possible to mark a Project as completed in Asana. This is a popular request in the Forum so I suggest adding your vote to this thread!
Completely agree with all the above - the portfolio feature is pretty redundant without the ability to complete a project - Archived projects should be for those which never were completed but may be returned to in the future. Also, how are we supposed to run reports on what is completed in the past 6 months for example without the ability to complete the project!
Just tick the purple Vote button at the top!