Hurry to contain hostile Right with increasing relief (7)

I believe the answer is:

hillier

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'hurry to contain hostile right with increasing relief' is the definition.
I can't tell whether this defines the answer.

'hurry to contain hostile right' is the wordplay.
'hurry' becomes 'hie' (historical word meaning go quickly or hasten).
'to contain' indicates putting letters inside.
'hostile' becomes 'ill' (ill can mean harmful or damaging).
'right' becomes 'r' (common abbreviation).
'hie' enclosing 'ill' is 'hillie'.
'hillie'+'r'='HILLIER'

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