Sorry for the tone, but I explained this to them in one of their Reddit announcement posts about their sponsored links, and their response was such that they had no concept of how advertising worked and acted like I was the one that was wrong. Now a few months later, they're begging their users for donations.
il lays out exactly what they need to do, so there isn't much else to suggest. Simply set up some ad placements on the site and get set up as a publisher with the ad network of their choice. The network does all the sales. (Edit: Later on, they can get into do their own direct sales, sponsorships, etc.) They actually were signed up as a publisher for an ad network for a while, I think, because I remember some ad taking over the screen and everyone freaking out. Maybe that scared them away from the idea because they couldn't control the ad types, I don't know.
I don't know what their mobile numbers are, but they need to get set up as a publisher with a mobile ad network too, such as Ad Mob, Millennial or Quattro.
And since they don't know how anything works, they need to get a few thousand dollars and hire a consultant to explain it all to them. I know they are sensitive about pissing off users, but I suspect that their conversations with Conde Nast and any ad network have ended up in frustrated conversations that go nowhere because they don't understand each other. They need a marketing consultant that understands both worlds to bridge the communication gap. Yes, I'm available.