The unlimited license is ad-free. You need to replace those links in your installation that you have removed.

Go to your admin panel > Settings > Advanced Settings > Enter your unlimited Dolphin license number in the area - Dolphin License Code > Save (at the bottom of that page > Log out of your admin panel, then log back in, this should save the new license and remove the boonex footers.

You must put the boonex footers key back in to your installation first for this to see more work.