A Liberal in government put straight again (7)

I believe the answer is:

realign

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

'a liberal in government' is the wordplay.
'liberal' becomes 'l' (abbreviation).
'in' indicates putting letters inside.
'government' becomes 'reign'.
'a'+'l'='al'
'al' placed inside 'reign' is 'REALIGN'.

'put' is the link.

Can you help me to learn more?

(Other definitions for realign that I've seen before include "return to proper position" , "Change to a different state or position" , "shift in position" , "Set straight" , "Group or divide on a new basis" .)

I've seen this clue in The Guardian.

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