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The phrase "acknowledged a total of" is correct and usable in written English.
It can be used when reporting or confirming the number of items, events, or instances that have been recognized or accepted.
Example: "The committee acknowledged a total of 150 applications for the scholarship program this year."
Alternatives: "recognized a total of" or "confirmed a total of".
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In May, Washington acknowledged a total stockpile of 5,113 nuclear warheads as of September 2009, down 75percentt from 1989.
The following are some of the successes already acknowledged: ▪ A total of 37 private providers have been contracted to offer ART follow up services.
In communications with the Guardian, a spokesperson for the Halo Trust acknowledged it had found a total of 42 cluster munitions in several sites around the Pachchilapalli area, near Elephant pass, slightly to the north of the Vanni region, in 2011 and 2012.
On Wednesday he settled with the agency, not acknowledging any wrongdoing but repaying a total of $285,000, including interest.
He acknowledged defrauding about 90 investors of a total of $1 million to $2 million.
Twelve large agribusinesses that acknowledged having operations in Mexico reported a total of 11,000 workers here.
He acknowledged using a scheme to defraud nine people of a total of $70,000 to $100,000.
The Justice Department acknowledged two cases in which the authorities have seized a total of more than $2 million from foreign banks but declined to give the total number of seizures.
A total of 2366 patients (26.1 %) acknowledged having thought about suicide, and 213 (2.4 %) also reported either intending to commit suicide or having a plan to do so.
In total, 65% of clubs acknowledged a dependence on principal shareholders to finance operating losses compared with 58% last year; for the Championship the figure is 94% and for League One it is 64%.
With a publicly acknowledged total of $100 billion and more mysteriously tucked away out of sight, that is a lot of taxpayer money.
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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