Cranes made from construction paper? (7)

I believe the answer is:

origami

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'construction paper?' is the definition.
(I've seen this in another clue)

I cannot understand how the rest of the clue works.

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(Other definitions for origami that I've seen before include "Japanese crane construction?" , "that's folding" , "Japanese craft of paper-tearing" , "Creation of objects from paper" , "Paper-folding skill" .)

I've seen this clue in The Times.

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