local government
US /ˌloʊ.kəl ˈɡʌv.ərn.mənt/
UK /ˌloʊ.kəl ˈɡʌv.ərn.mənt/

1.
the administration of a particular county or district, with elected representatives
:
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The local government is responsible for maintaining public parks.
•
Many decisions affecting daily life are made by the local government.