Falcon rental depot sign in the county (13)

I believe the answer is:

herefordshire

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This clue could be a double definition.

'falcon rental depot sign' is the first definition.
The definition suggests a singular noun which matches the answer.

'the county' is the second definition.
(I've seen this before)

'in' acts as a link.

Can you help me to learn more?

(Another definition for herefordshire that I've seen is " County".)

I've seen this clue in the Sydney Morning Herald.

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