Flee Milan, running with loved ones (2,7)

I believe the answer is:

en famille

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'flee milan running with loved ones' is the definition.
I can't tell whether this defines the answer.

'flee milan running' is the wordplay.
'running' indicates anagramming the letters (the letters run around to different places).
'flee'+'milan'='fleemilan'
'fleemilan' is an anagram of 'EN FAMILLE'.

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(Other definitions for en famille that I've seen before include "Casually" , "at home" , "Informally" .)

I've seen this clue in The Times.

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