They may shake the trees and not the plants (5-7)

I believe the answer is:
north-easters
'they may shake the trees' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.
'and not the plants' is the wordplay.
'and not' becomes 'nor' ('nor' means 'and also not').
'plants' becomes 'asters' (aster is a kind of plant).
'nor'+'the'+'asters'='NORTH-EASTERS'
Can you help me to learn more?
I've seen this clue in The Times.
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