Log messages are not from 'debug'. The debugger is a different thing from Log.
Anyway, to remove the Logs you need to remove all of your Log statements.
Another way to do it is to use a switch for enabling/disabling logging. Ofcourse you have to replace all Log statements with vLog. for e.g.
Sub vLog(s as String)
Dim enable_log as Boolean
enable_log = True
If enable_log = True then
Log(s)
End If
End Sub