As you already have the No-Ads Upgrade, and you refer to seeing ads while logged in it’s unlikely what you see is WordPress.com advertising. Those who have posted about such ads in the past ended up red-faced. This is why.
WordPress.com does not use text enhance or text link ads or pop-up ads or links in comments. If you are seeing those then that’s a browser-ad-on issue, or in some cases, it’s malware embedded into free games and/or toolbars from shopping sites downloaded from the internet. See here: Bloggers: Beware of Adware. http://onecoolsitebloggingtips.com/2012/09/14/bloggers-beware-of-adware/