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The phrase "a knotty set of" is correct and usable in written English.
It can be used to describe a complex or difficult situation, problem, or issue that requires careful thought or consideration.
Example: "The committee faced a knotty set of challenges while trying to finalize the new policy."
Alternatives: "a complicated array of" or "a challenging series of".
Exact(5)
"It's a knotty set of issues," Mr. Aftergood said.
It is a knotty set of decisions, not easily unraveled, and some of them are bound to become visibly contentious soon.
There is every chance the UK would have headed towards negative inflation, bringing a knotty set of challenges for policymakers and intensifying the imbalance between imports and exports.
Now we have the Frank-Dodd proposal, which, while not a panacea, offers a smart approach to a knotty set of problems — an approach that should breathe some life into the housing market, the mortgage market and the related securities markets.
The refugee challenge for Kenya poses a knotty set of challenges, both urgent and longer term.
Similar(55)
But they also will have to deal with a knottier set of issues.
But it also further complicates an already knotty set of questions around danger, sex and eroticism.
The revelation raises a knotty and uncomfortable set of issues for anyone in the information business — and exposes a touchy paradox in providing any kind of news or information that affects markets.
This lively début combines a knotty coming-of-age tale and a high-society caper.
Thus the stage is set for a knotty, tangled drama of resentment, uncertainty and trauma; again, very rock'n'roll.
The Enron debacle is building into a set of knotty problems for Arthur Andersen, the accounting firm that audited Enron's books for more than a decade.
More suggestions(19)
a complex set of
a troubling set of
a daunting set of
a sensitive set of
a difficult set of
a key set of
a contentious set of
a tricky set of
a delicate set of
a tough set of
a complicated set of
a challenging set of
a knotty mess of
a restricted set of
a diverse set of
a knotty combination of
a knotty piece of
a knotty question of
a favorite set of
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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