Nature walks for dogs (6)

I believe the answer is:

trails

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'dogs' is the definition.
('trail' can be a synonym of 'dog')

I don't understand the rest of the clue.

(Other definitions for trails that I've seen before include "Goes after" , "Lags behind" , "Paths or tracks through wild or hilly country" , "Follows or drags behind" , "Follows - footpaths in the wild" .)

I've seen this clue in The Independent and The Sun.

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