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Ran out of Maryland at a frantic pace (5)

Ross

I believe the answer is:

madly

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'ran out of maryland at a frantic pace' is the definition.
I can't judge whether this definition defines the answer.

'at a frantic pace' is the wordplay.
'at' is a charade indicator (letters next to each other).
'a frantic' becomes 'mad' (I've seen this in another clue).
'pace' becomes 'ly' (I can't explain this - if you can you should believe this answer much more).
'mad' put next to 'ly' is 'MADLY'.

Can you help me to learn more?

(Another definition for madly that I've seen is " "Deeply truly ____"".)

I've seen this clue in The Irish Times.
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