Crossword Genius

Work as cleaner, subject to following Legislative Assembly (7)

Ross

I believe the answer is:

launder

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'work as cleaner' is the definition.
I can't tell whether this definition defines the answer.

'subject to following legislative assembly' is the wordplay.
'subject to' becomes 'under' (being subject to a law is being under it).
'following' means one lot of letters go next to another.
'legislative assembly' becomes 'la' (this could be a standard abbreviation I've not previously seen).
'under' put after 'la' is 'LAUNDER'.

Can you help me to learn more?

(Other definitions for launder that I've seen before include "address the filth in lucre?" , "Act illegally" , "Wash and iron clothes etc" , "Clean, clothes or mafia money" , "clean habits" .)

I've seen this clue in The Independent.
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