Get back in central parade (7)

I believe the answer is:

cortege

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'parade' is the definition.
(thesaurus)

'get back in central' is the wordplay.
'back' says the letters should be written backwards.
'in' indicates putting letters inside.
'central' becomes 'core' (I can't explain this - if you can you should give a lot more credence to this answer).
'get' reversed gives 'teg'.
'teg' going into 'core' is 'CORTEGE'.

Can you help me to learn more?

(Other definitions for cortege that I've seen before include "Processing figures" , "Solemn funeral procession" , "train" , "Entourage, retinue" .)

I've seen this clue in The Daily Express.

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