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Hi Elsbeth
I bought a 2001 Yukon XL in March of this year with 100K. Being a used car, there were small things that I had to fix. The only real repairs were: the fuel pump was replaced, as I could tell it was weakening and the digital display odometer and tripometer would go blank, about a $60 repair.
Where your XL has more mileage than mine, it is possible your's has had these repairs already. I looked for several months for one with around 100K. I found many with 300K to 350K miles, so they do last a long time.
Good Luck
Tom