Well, it was actually a pair of pants and a shirt, as well as a set of underwear. But we could, for the purposes of the story, assume that they're still in the wash ;) After all, the Collinses don't know whether the material can be tumble-dried safely, and after the first incident, they're not likely to set something out on the line until it's resolved...
With regards to the solution, I kinda like the idea of Anneza confronting Julian, but I'm not sure how she'd find him...