Rousing songs of motherlands Lord recklessly abandoned (7)

I believe the answer is:

anthems

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'rousing songs' is the definition.
'anthems' can be an answer for 'songs' (anthem is a kind of song). I am not certain of the 'rousing' bit.

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

Can you help me to learn more?

(Other definitions for anthems that I've seen before include "Songs of loyalty" , "Church songs" , "songs of praise" , "National songs" .)

I've seen this clue in The Irish Times.

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