'complexly-managed' originates from the combination of 'complexly' and 'managed', where 'complexly' is derived from 'complex', meaning 'consisting of many different and connected parts', and 'managed' is the past participle of 'manage', meaning 'to be in charge of'.

'Complexly' evolved from the Latin word 'complexus', and 'managed' from the Old French 'managier', eventually forming the modern English term 'complexly-managed'.

Initially, 'complexly' meant 'in a complex manner', and 'managed' meant 'handled or controlled'. The combined term 'complexly-managed' retains these meanings, emphasizing intricate management.