Free Time does have frames, from what I've seen, but they are all the same width, and just come in different colours. They're all just plain and straight too, and some of the frames on the buyable paintings are nice and ornate (and they are all different).

It's just sketchy to put things in the inventory at all, I think. I lost a headstone that way too (from the Goths - I was attempting to move them to another lot). I'll think twice before I move a painting that way (and I'll double check before installing a new EP).

Saying that the painting "went sunset" sounds so epic.