There's a construction in English that allows us to form a compound adjective from a noun and a past participle. Examples:
This is a volunteer-built home.
Our newspaper is student-run.
After the spill, beaches were littered with oil-soaked birds.
The way it works is pretty transparent: [subject noun] + [verb participle] modifies [object noun]. However, it occurred to me that we can't just plug any subject, object, and verb into this formula. Some sound completely wrong/impossible:
*This is a cat-used litterbox.
*I wanted to buy my daughter the most child-wanted toy.
*I was uncomfortable lying down in the hobo-slept bed.
Thinking about it, I couldn't come up with a clear rule that determines why some words can fit this construction acceptably and some can't. Why is that?