Crossword Genius

Increase organised valet parking in large parts of East End (7)

Ross

I believe the answer is:

elevate

I'm a little stuck... Click here to teach me more about this clue!

'increase' is the definition.

'organised valet parking in large parts of east end' is the wordplay.
I cannot really understand how this works, but
an anagram of 'valet' is 'levat' which is located in the answer.
'east' could be 'e' (abbreviation) and 'e' is found in the answer.
A single letter 'e' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for elevate that I've seen before include "Lift - exalt - promote - cheer" , "Hoist" , "Raise high or promote" , "Lift up or ennoble" , "Lift to higher place or position" .)

I've seen this clue in The Guardian.
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