Upper windshield molding may vibrate/make noise at higher speeds on Honda Accord

Problem Description and Possible Solution
The upper windshield molding can vibrate at higher speeds causing a noise. Back filling the molding with a silicone sealer is involved in the repair.
Problem Data
RepairPal Verified
Average mileage: 144,333 (115,000–195,000)
3 model years affected: 1998, 2001, 2006
7 people reported this problem
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Cracked windshield replaced. First repair whistled like a banshee. Now I have horrible road and wind noise instead.
Very unhappy. Not Honda's fault but the insurance company's glass outfit.