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Coldplay ticket includes backtrack of ''Amsterdam'' (4)

Ross

I believe the answer is:

city

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

''amsterdam'' is the definition.
I can't tell whether this definition defines the answer.

'coldplay ticket includes backtrack' is the wordplay.
'includes' indicates the answer is hidden within the clue.
'backtrack' says the letters should be written backwards (I've seen 'backtracking' mean this).
'ytic' is hidden in the letters of 'coldplay ticket'.
'ytic' back-to-front is 'CITY'.

'of' is the link.

Can you help me to learn more?

(Other definitions for city that I've seen before include "- of God (St Augustine)" , "Big town" , "See 2" , "Major residential area" , "Urban settlement" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).
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