By going around America, I start living actively (6)

I believe the answer is:

busily

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'actively' is the definition.
Both the answer and definition are adverbs. Perhaps they are linked in a way I don't understand?

'by going around america i start living' is the wordplay.
'going around' indicates putting letters inside.
'america' becomes 'us' (United States).
'start' indicates taking the first letters.
The initial letter of 'living' is 'l'.
'us'+'i'+'l'='usil'
'by' placed around 'usil' is 'BUSILY'.

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I've seen this clue in the Sydney Morning Herald.

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