Lawn depressions

A couple of spots in my lawn have started to sink. Upon investigation, I found a number of little holes, like rodents would make. I believe the rodents have moved on -- my hunting cat used to haunt that section of the yard from the moment she went outside, but now it no longer attracts her -- but I still have these depressions in the lawn that are rather hazardous to inattentive foot traffic. Is there any way to repair them while preserving the grass?
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On Wed, 08 Sep 2004 13:46:58 -0400, Chelsea Christenson

Cut a large "H" in the grass and gently pull back the tabs while cutting the grass loose from the soil. Add top soil to the exposed area. You could mix a handful of compost or rotted manure to the top soil. Fold back the tabs and water well. Water again the next day, then water as needed.
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