Crossword Genius

Token leaders from the east half-heartedly advance (4,2)

Ross

I believe the answer is:

step up

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'advance' is the definition.
(thesaurus)

I cannot understand how the rest of the clue works.

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(Other definitions for step up that I've seen before include "Approach" , "Raise by stages" , "- Bezukhov (War and Peace)" , "Increase as with pace - or ascend stair?" , "Advancement (on a ladder or career)" .)

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