Old king on journey engaging good poet (9)

I believe the answer is:

coleridge

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'poet' is the definition.
(Coleridge is an example)

'old king on journey engaging good' is the wordplay.
'old king' becomes 'cole'.
'on journey' becomes 'ride' (riding is a kind of journeying. I am not sure about the 'on' bit.**).
'engaging' indicates putting letters inside.
'good' becomes 'g' (abbreviation).
'ride' enclosing 'g' is 'ridge'.
'cole'+'ridge'='COLERIDGE'

Can you help me to learn more?

(Other definitions for coleridge that I've seen before include "Exponent of art" , "English poet" , "Poet, author of the 9 19" , "Ancient Mariner poet" , "Kubla Khan poet" .)

I've seen this clue in The Times.

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