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The phrase "a difficult and complex" is correct and usable in written English.
It can be used to describe a situation, problem, or concept that is both challenging and intricate.
Example: "The project presented a difficult and complex set of challenges that required innovative solutions."
Alternatives: "a challenging and intricate" or "a tough and complicated".
Exact(52)
Rio has always been a difficult and complex city.
Mozart said: "It is a difficult and complex form.
Stem cell research is a "difficult and complex issue".
But while it's a difficult and complex task, it's also an important one.
The subject of indigenous rights is a difficult and complex one for modern Australia.
Here was a difficult and complex case, that many doubted the SFO would successfully see through.
Similar(7)
He now faces a difficult and increasingly complex political task as issues of free trade grow more contentious and an election looms.
It's a very difficult and complex image, masquerading as a simple abstraction.
"The time has come for a younger generation to carry Singapore forward in a more difficult and complex situation," they said.
On Sunday, no one was present to tell a more difficult and complex story.
It's a lifelong, difficult and complex condition and it must have been awful when nobody understood it.
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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