Luxurious vehicle minus oil: engine's head cracked (9)

I believe the answer is:

limousine

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'luxurious vehicle' is the definition.
'limousine' can be an answer for 'vehicle' (limousine is a kind of vehicle). I'm unsure of the 'luxurious' bit.

'minus oil engine's head cracked' is the wordplay.
'head' indicates taking the first letters.
'cracked' indicates anagramming the letters.
The initial letter of 'engines' is 'e'.
'minus'+'oil'+'e'='minusoile'
'minusoile' with letters rearranged gives 'LIMOUSINE'.

Can you help me to learn more?

(Other definitions for limousine that I've seen before include "Form of transport" , "Large luxurious car" , "Luxury car" , "vehicle" , "Luxurious car (with a chauffeur?)" .)

I've seen this clue in The Times.

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