Picture but no sound for selected channels can be caused if SAP is ON. Check that cable box setting and verify it's set to OFF. Your TV may also have an SAP setting. A sound issue can also originate from the individual TV channel source. It could be a signal issue, but signal issues are more likely to affect picture than sound.
Cox will charge a fee for a tech visit if no issue is found on their side of the demarcation point (box on side of house where Cox cables connect to your house cables). If the only issues found are on their side, you won't be charged for the service call.