W-2 Local Income Tax Filing

Do the local income tax (i.e. county income taxes withheld) reported on a W-2 need a separate local 1040 filing/return or are they simply covered (included) by the state 1040 return with the respective schedule forms?

 

If the latter, do I need to include both of my W-2 State and City/Local Filing Copies when I mail in my state tax 1040 return or will the State copy suffice?