we had a similar problem
when we got our 2 boys we had a similar issue, one was peeing on inappropriate things and we did manage to break the habit but it wasn't easy.
first thing we did was change the litter, turns out he likes the soft clumping kind, it helped but it didn't fix everything. what really worked was crate training him like a dog. i had a large cage from the rescue work that i do, only big enough to fit the litter pan and give him room to sleep and have his food bowls. he had NO CHOICE but to use the box, and every time he did we praised him and gave him treats. he was allowed out for socializing and exercise but was supervised at all times. if he looked like he was thinking about doing something naughty he went right back in the cage. it took three weeks but it worked.
next thing we did was remove "tempting" items like plastic bags on the floor, or piles of laundry, things that looked like they might be nice to pee on. it's been 6 months since we did his training and he has been very good since, fingers crossed he will stay that way.
good luck!
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