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Discover Ludwig"wicked problems" is correct and can be used in written English.
You can use it to refer to a difficult or complex problem that has no single solution. For example, you could say, "The climate crisis is one of the world's most wicked problems."
Dictionary
wicked problems
noun
Plural of wicked problem
Exact(59)
The next president is going to face some wicked problems.
"Wicked" problems can't be solved, but they can be tamed.
Wicked problems and design considerations in composing for laptop orchestra.
The challenges we see ahead are wicked problems.
DeGrace and Stahl wrote Wicked Problems, Righteous Solutions: A Catalogue of Modern Software Engineering Paradigms (1990); Conklin authored Dialogue Mapping: Building Shared Understanding of Wicked Problems (2006).
Solutions to wicked problems, by contrast, are only better or worse.
Societies around the world are faced with wicked problems such as climate change.
In wicked problems, the number of stakeholders is larger, and frequently these stakeholders have competing goals.
This chapter discusses the various aspects of wicked problems in the design process.
Adaptations in environmental management often involve complex, including wicked, problems of collective action.
Similar(1)
They face deep-seated or 'wicked' problems, which have complex roots in the labyrinthine structures though which healthcare is delivered.
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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