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The phrase "acknowledging how fast" is correct and usable in written English.
It can be used when discussing the speed of an event, process, or change, often in a context where recognition of that speed is important.
Example: "In our meeting, we spent some time acknowledging how fast technology is evolving and its impact on our industry."
Alternatives: "recognizing the speed" or "noting how quickly".
Exact(1)
The Coke ad which then played was Weiner wittily acknowledging how fast the corporate world – which created 'Don Draper' – would subsume the counter-culture.
Similar(59)
He acknowledged how big the problem is.
"You need to acknowledge how they feel.
Zuerlein acknowledged that he was thinking about too many things last week — how fast was he running toward the ball, for one — and that contributed to his misses.
He acknowledged that he had a steep learning curve about the industry, particularly how fast G.M. could develop new vehicles.
How fast is fast?
How fast things change.
How fast are you?
How fast priorities change.
How fast is fast enough?
How fast a transition?
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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