'locally' originates from 'local,' which comes from Latin 'localis,' meaning 'pertaining to a place.' 'Accepted' comes from Latin 'acceptare,' meaning 'to receive willingly.'

'Localis' transformed into the Old French 'local,' and eventually became the modern English word 'local.' 'Acceptare' transformed into the Old French 'accepter,' and eventually became the modern English word 'accept.'

Initially, 'local' meant 'pertaining to a place,' and 'accept' meant 'to receive willingly.' Over time, 'locally-accepted' evolved to mean 'recognized or approved within a specific local area.'