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"a layer of complexity" is a correct and usable phrase in written English.
You can use it when referring to a situation, idea, system, etc. that has multiple complex components or considerations. For example, "Many investors remain wary of the stock market due to its immense layer of complexity."
Exact(59)
Still, a layer of complexity limits acceptance.
It adds a layer of complexity.
This adds a layer of complexity to Oleanna.
Roasting them, I figured, would intensify their flavor and add a layer of complexity.
(To add a layer of complexity, Christopher Bailey themed the Burberry collection around Virginia Woolf's time-travel classic, Orlando).
So there's a layer of complexity to him that makes me hesitant to agree that he's naïve.
What adds a layer of complexity — and volatility — is Abyei's symbolic power.
Loan documents were exchanged on a separate electronic network, adding a layer of complexity.
"If you try and implant software that limits an employee's capabilities, you're adding a layer of complexity".
That adds a layer of complexity, favouring the biggest outfits.Chinese broadcasters are quickly learning how to produce slick-looking television.
"If you add help, it adds a layer of complexity that takes more time," said Mr. Callan, a veteran of three start-ups.
More suggestions(16)
a layer of inconvenience
a degree of complexity
a layer of difficulty
a layer of tape
a layer of depth
a layer of challenges
a layer of insulation
a fog of complexity
a layer of mulch
a layer of skin
a layer of observation
a lack of complexity
a cuisine of complexity
a layer of ketchup
a layer of enforceability
a lot of complexity
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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