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The phrase "are extraordinarily complex" is correct and usable in written English.
You can use it to describe something that has a high level of complexity or difficulty, often in academic or technical contexts.
Example: "The algorithms used in modern artificial intelligence systems are extraordinarily complex, requiring extensive knowledge to fully understand."
Alternatives: "are highly intricate" or "are remarkably complicated."
Dictionary
are extraordinarily complex
adverb
In an extraordinary manner.
synonyms
Exact(15)
Biological systems are extraordinarily complex, calling for methods that are commensurate with this complexity.
After all, we are extraordinarily complex creatures, it was argued.
The ecological questions are extraordinarily complex, and research into them will take years.
Such goals are extraordinarily complex, of course, and have been set before.
P.J. Crowley, vice president of the Insurance Information Institute, an industry education group, said: "The issues are extraordinarily complex in this unprecedented event.
Jeffrey D. Gordon, said, "These are extraordinarily complex issues, and we have worked hard to ensure that those accused of war crimes get full and fair trials".
Similar(45)
And the financial system is extraordinarily complex.
This is extraordinarily complex and extraordinarily difficult.
Peace-building can be extraordinarily complex.
"The economy is extraordinarily complex," Mr. Colander said.
"Homosexuality is extraordinarily complex and variable," Mr. Bagemihl said.
More suggestions(15)
are enormously complex
are exceedingly complex
are extraordinarily tricky
are inordinately complex
are extraordinarily diverse
are immensely complex
are terribly complex
are extremely complex
are extraordinarily intricate
are unusually complex
are remarkably complex
are extraordinarily difficult
are hugely complex
are extraordinarily challenging
are extraordinarily convoluted
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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