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Teaching can die out in another order (9)

Ross

I believe the answer is:

education

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

'teaching' is the definition.
(I know that teaching can be written as education)

'can die out in another order' is the wordplay.
'can die out' anagrams to 'EDUCATION'.
However, I'm unsure how this is indicated.

Can you help me to learn more?

(Other definitions for education that I've seen before include "Academy's aim" , "an answer to all clues, initially" , "Essential for children" , "Process of acquiring knowledge" , "Blair's triple mantra" .)

I've seen this clue in the Sydney Morning Herald.
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