Can UT cause kidney stones long-term?

Hi everyone - does anyone have some kind of scientific explanation or links about this:

I'm wondering if UT can cause kidney stones over time. I practiced UT for a few years then developed kidney stones and stopped in case it was related. Uric acid is eliminated through the urine and if you keep taking it back into your body isn't it possible that stones can form since your just adding more and more and it's never getting released?

Someone with proper knowledge about this please provide some clarity - I have no idea how its linked or if there is a danger in this, just layman logic I guess.