Blow up lines following shelling around plain (7)

I believe the answer is:

inflate

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'blow up' is the definition.
('inflate' can be a synonym of 'blow up')

I don't understand how the remainder of the clue works.

(Other definitions for inflate that I've seen before include "Fill with gas" , "Get air into" , "Blow or pump up" , "Distend" , "Expand unduly" .)

I've seen this clue in The Telegraph.

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