If you have the Banner Ads enabled on your site, you can now control whether or not they display inside the Member Dashboard for each Membership Level by going to:

Finance >> Membership Plans >> Edit 

Inside the Additional Settings tab scroll until you get to the section for the Member Dashboard >> Show Banner Ads in Dashboard:

If the Banner Ads are set to "Yes" you can see them on the dashboard:

If it is set to "No" they will be hidden from the dashboard but continue to display everywhere else on the site: