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The phrase "a complex problem inviting" is grammatically correct and can be used in written English.
It can be used to describe a complex problem that encourages or calls for further exploration, discussion, or solutions.
Example: "The researchers presented a complex problem inviting innovative solutions from the scientific community."
Alternatives: "a complex problem that beckons" or "a complex problem that calls for".
Exact(1)
This approach (as well as the other examples included in Table 1) transforms a typical exercise into a complex problem, inviting students to generate possible scenarios by applying their knowledge of a generalized system (chromosomal inheritance) to a specific application.
Similar(59)
But she oversimplifies a complex problem.
Apportionment is often a complex problem.
Infant mortality is a complex problem.
"But it's a complex problem.
I don't think it's a complex problem.
This is a complex problem but there are solutions.
Obsolete file formats are a complex problem.
What is a complex problem?
Theirs is a complex product to solve a complex problem".
Making buildings smarter is a complex problem.
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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