Audi dealership is asking 5000 to repair catalytic convertors . is that right

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i left my audi q7 with dealership in birmingham al . they said catalytic convertors have melted and in order to fix the problem it will cost 5000 dollars . i was also told by the dealership i bought the car from that audi has 8 years or 80000 miles warranty on emmission control devises . do you know anything about the warranty and why the repair is so costly .