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"hence a" is correct and usable in written English.
You can use "hence a" when you want to express a logical consequence of a preceding statement. For example: "The store has been closed for the day; hence a refund cannot be processed at this time."
Exact(59)
Hence a lighter modulation.
Hence, a bookkeeping triumph.
Hence a naked Greta.
Hence, a taller structure.
Hence, a likely Conservative, right?
Hence "a special signed books section".
Hence a budding phenomenon: urban chicken retirement.
Hence, "a scenario" has been created.
Hence, a shotgun wedding is being planned.
Hence, a decreased focus on A.T.V. users.
Hence a personal fortune estimated at £120m.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com