'mistakenly-approved' originates from the combination of 'mistakenly' and 'approved'. 'Mistakenly' comes from 'mistake', which originates from Old Norse 'mistaka', meaning 'to take in error'. 'Approved' comes from Old French 'aprover', meaning 'to prove or demonstrate'.

'mistakenly' evolved from the Old Norse 'mistaka', and 'approved' evolved from the Old French 'aprover'. Together, they form the modern English term 'mistakenly-approved'.

Initially, 'mistakenly' meant 'in error', and 'approved' meant 'to prove'. Over time, 'mistakenly-approved' evolved to mean 'approved by mistake'.