I purchased one of those self cleaning cat litter boxes and it was one of the best decisions of my life because of all the time it has freed up. My cats (2 of them) are indoor cats.
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I used to have to spend an hour a day cleaning up the mess that they would leave in and around the kitty litter box. They didn't like using it if it was dirty, so instead they would do their business around it.
I eventually decided to get an automatic litter box to help with this problem.