Walter's house

Likely not until after the court proceedings were over with, and they were able to establish that it wasn't paid for with drug money. That's my best guess.

Yes, Saul even said that at one point. But the problem was that Skylar had no resources to pay the mortgage with legal funds. With Walt's notoriety, the house had become the sight of many prying eyes. That is why the "bank" owned the house and built the fence around it.

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Never say never...