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Bike rides embodying advert for Greek islands (8)

Ross

I believe the answer is:

cyclades

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

'greek islands' is the definition.
'cyclades' can be an answer for 'islands' (I've seen this before). I am unsure of the 'greek' bit.

'bike rides embodying advert' is the wordplay.
'bike rides' becomes 'cycles' (I can't justify this - if you can you should give a lot more credence to this answer).
'embodying' means one lot of letters goes inside another (to embody can mean to contain or include).
'advert' becomes 'ad' (synonyms).
'cycles' placed around 'ad' is 'CYCLADES'.

'for' is the link.

Can you help me to learn more?

(Other definitions for cyclades that I've seen before include "Greek islands in the southern Aegean" , "many islands" , "Aegean island group" , "Island group inc. Naxos" .)

I've seen this clue in The Times.
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