'non-involvement' originates from the prefix 'non-' meaning 'not' and the word 'involvement', which comes from the Latin 'involvere', meaning 'to roll into'.

'involvere' transformed into the French word 'envolver', and eventually became the modern English word 'involve', with 'non-' added to denote the opposite meaning.

Initially, 'involvere' meant 'to roll into', but over time it evolved into its current meaning of 'to engage or participate'.