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

 

Finance >> Membership Plans >> Edit





Go to the Member's Dashboard tab: 




Then scroll down to the "Additional Settings" section >> Show Banner Ads in Dashboard":  




If the Banner Ads are set to "Yes", they will show up 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: