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The phrase "acknowledge a decline" is correct and usable in written English.
You can use it when discussing a recognition or admission of a decrease in something, such as performance, quality, or numbers.
Example: "The company must acknowledge a decline in sales over the past quarter to address the underlying issues."
Alternatives: "recognize a decrease" or "admit a downturn."
Exact(1)
And yet, and yet, and yet … it was perhaps unsurprising that a man in his 80s who was drastically overweight and struggling with type 2 diabetes should have to slow down and acknowledge a decline in his once-formidable powers.
Similar(59)
Mr. Sinn acknowledged a decline in the current state of the manufacturing and construction sectors, but said the wholesaling and retailing climate had improved.
Iran's veneer of stoicism toward the Western sanctions that have disrupted its economy showed some new strains on Monday, as the deputy oil minister acknowledged a decline in domestic petroleum production because of dwindling foreign investment, and four-year-old talks between the Iranians and Poland's biggest natural gas developer collapsed.
He went on to become the United States solicitor general, the administration's top lawyer, and his victory now threatens to cut into the federal budget just as the government is being forced to acknowledge a sharp decline in the projected surplus.
Brazil declined to acknowledge a formal state of war, and for most of its duration, the Uruguayan Brazilian armed conflict was an undeclared war.
acknowledged that a decline in gun-related suicides and homicides was indeed underway but said these mortality rates dropped more sharply in the aftermath of the NFA.
They frequently had argued that the economy was simply "stagnant" or at a "standstill," refusing to acknowledge the decline.
For all the optimism, church insiders privately acknowledge the decline of what are often already tiny rural churches means something will have to change.
In coping with the rebellion, Xianfeng had to acknowledge the decline of the Manchus' fighting abilities and came to increasingly rely on volunteer militias raised in the provinces by Zeng Guofan and other able Chinese leaders.
The site seeks to empower businesses to acknowledge the decline of in-house computing and the rise of the All Cloud Enterprise (ACE).
Several candidates, including executives of Los Angeles Philharmonic, San Francisco Symphony and Chicago Symphony, and the executive and artistic director of the Lucerne Festival in Switzerland, have acknowledged declining a job offer or an invitation to pursue one.
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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