Pragmatic, with no part in imagined sorcery (5)

I believe the answer is:

magic

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'sorcery' is the definition.
(I've seen this before)

I don't understand how the rest of the clue works.

(Other definitions for magic that I've seen before include "Unexpectedly produce" , "The art of illusion" , "Wizardry - wizard!" , "'Charms, spells, illusions (5)'" , "Great" .)

I've seen this clue in The Irish Times.

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