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The phrase "are multiple and complex" is correct and usable in written English.
It can be used to describe situations, issues, or phenomena that have various aspects and are not straightforward.
Example: "The challenges we face in climate change are multiple and complex, requiring a multifaceted approach to address them effectively."
Alternatives: "are varied and intricate" or "are numerous and complicated."
Exact(30)
The problems are multiple and complex, he says.
"The causes are multiple and complex, but drought is the over-arching one".
"There are multiple and complex reasons why the number of BAME clergy is low," said a C of E spokesperson.
The underlying reasons for a culture normalising coercion to the extent that its victims sometimes fail to see it are multiple and complex.
OSCC is an extremely malignant carcinoma whose prognostic factors are multiple and complex.
Design, study and management of Urban Traffic Systems (UTS) are increasingly difficult and expensive as existing configurations are multiple and complex.
Similar(29)
Molecular mechanisms associated with such dysfunction appear to be multiple and complex.
The reasons behind the trends were multiple and complex, but there were some plausible explanations as well as important lessons to be learned, said Prof Andrew Steptoe, of University College London, and colleagues.
The reasons behind this situation were multiple and complex.
The mechanisms involved seem to be multiple and complex.
The reasons for this are likely to be multiple and complex.
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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