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The phrase "a complex undertaking that" is correct and usable in written English.
You can use it when describing a task or project that involves multiple components or challenges.
Example: "Developing a new software application is a complex undertaking that requires careful planning and collaboration among team members."
Alternatives: "a challenging task that" or "a difficult project that".
Exact(15)
Human space flight is a complex undertaking that entails numerous technological and biomedical challenges.
Policing has therefore become a complex undertaking that straddles the traditional institutional and jurisdictional distinctions between public and private, criminal and political.
With the grant in hand, Ms. Easton, of Easton Architects, will lead the assessment efforts, a complex undertaking that will involve specialists in Tiffany glass, tile, masonry, fire safety and other fields.
Running a lab effectively is a complex undertaking that involves managing many things including people, time, projects, and budgets.
Google Cloud Storage Connector for Hadoop shows how Hadoop is becoming more accessible and readily available as a service more so than a complex undertaking that requires any number of skills to leverage.
"Finding solutions to address the wide range of factors that may affect bee health …will be a complex undertaking that may take many years and require advances in science and changes in agricultural and land use practices".
Similar(45)
The United States must project and maintain its naval and air power 10,000 km across the Pacific Ocean, a hugely expensive, complex undertaking that gives cash-rich China an important, even decisive advantage.
Make no mistake about it, the transition of a sitting vice president, while still a complex undertaking, has certain advantages that Governor Bush does not have".
That's a complex undertaking, given the large number of drugs that come from India, China and many other countries.
An improved set of measurement approaches for inequities would advance the field, but it is important to recognize that this is a complex undertaking given the number of mechanisms in the pathway that may be shaping inequities and their specificity to different types of health conditions.
Changing health behaviours is a complex undertaking and trialling a composite intervention that can be adopted in various primary health settings is required so women can be accessed as early in pregnancy as possible.
More suggestions(16)
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a complex interaction that
a complex art that
a complex question that
a formidable undertaking that
a complex business that
a complex industry that
a pricey undertaking that
a complex conjuration that
a substantial undertaking that
a tedious undertaking that
a complex procedure that
a complex subculture that
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a complex area that
a complex syntax that
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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