So, we adopted two cats last Christmas. They were a brother and sister who had been living in a dumpster for probably 6-8 months. The first few months were fine, but as of the last 3 months or so, the male has been peeing on the furniture every time we leave the house (to be clear, they urinated before that, but that could've been attributed to adjustment, and it wasn't as frequent). He sits and yowls at the door whenever anyone goes out. I have tried a million things and have sunk a lot of money into solving the pee problem. But nothing works. The vet says he's healthy, and that it's behavioral. I think it's clear what's wrong: he was conditioned for outdoor living and he wants it back. He's not ever going to be content inside. His sister has adapted, but he hasn't. This problem also began when the neighborhood strays found him and started communicating through the windows, which drives home my diagnosis even more. Also, he bolts out every time we open the door, and attempts to evade recapture every time. He's friendly to us, but does not want to be inside.
Anyway, my wife is far more frustrated than I am. She wants the male gone. In fact, she'd prefer both gone at this point I think. So she texted me this morning and said she was gone for 30 minutes and the cat peed on the couch. So she let him out intentionally. She said she turned to put out bowls of food and water, and he was gone from sight. I don't like it. I had already posted a craigslist rehoming ad (I had to get rid of a cat once, and he was gone in hours after posting on CL--especially with all vaccinations spaying and neutering).