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The phrase "acknowledges a number" is correct and usable in written English.
It can be used when referring to someone or something that recognizes or accepts a specific quantity or amount.
Example: "The report acknowledges a number of significant challenges that need to be addressed."
Alternatives: "recognizes several" or "accepts a variety of".
Exact(5)
Dutch law acknowledges a number of specific contexts in which people have more leeway to express opinions, even a prima facie defamatory opinions.
Although the Wissenschaftsrat recognises that Germany's PhD system is effective in general, it also acknowledges a number of deficits.
The panel acknowledges a number of challenges facing the field, including the need to develop better experimental models and to initiate clinical trials at earlier stages of the disease.
Still, Tiga acknowledges a number of outsiders who are engaging with the genre in a positive way, including Dubbel Dutch, Sinjin Hawk, DJ Slow, and Sam Tiba.
Instead it acknowledges a number of dire conditions, diseases and fatalities as "presumed" to be associated with Agent Orange exposure in its own veterans.
Similar(55)
China has acknowledged a number of the problems.
He spoke excitedly of the area's retail revitalization, but acknowledged, "A number of residents have been priced out".
Dees acknowledged a number of previously unreported instances — separate from those involving Costello — in which his conduct with employees had been called into question.
Also, and while I acknowledge a number of people may be reaching for tiny violins at this point, there are the journalists and broadcasters to think about too.
After weeks of insisting that its review had not turned up any serious errors, Bank of America acknowledged a number of paperwork errors, including incorrect data and misspelled names.
Members of the international team, while acknowledging a number of very expensive mistakes, argue that most of the financial drag on the company from projects like the $3 billion Dabhol power plant in India could be corrected with further investment.
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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