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The phrase "a complex and difficult undertaking" is correct and usable in written English.
You can use it when describing a task or project that requires significant effort, skill, or resources to complete.
Example: "The construction of the new bridge is a complex and difficult undertaking that will take several years to finish."
Alternatives: "a challenging and intricate task" or "a complicated and demanding project."
Exact(3)
This would be a complex and difficult undertaking.
Development of new vaccines against TB, whether to prevent infection or prevent disease, is a complex and difficult undertaking.
Analyzing the economic impact of the effects of CV and climate change on human health is a complex and difficult undertaking.
Similar(57)
This is a complex and difficult subject..
It's an easy – and desperately obvious – explanation for a complex and difficult to understand problem.
"It's going to be a complex and difficult and frustrating road ahead," Bell noted.
Modifying prescriber behavior is a complex and difficult task.
This is a delicate and difficult undertaking, for obvious reasons.
This would be a staggeringly expensive and difficult undertaking and would entail a great deal of shared sacrifice.
But starting a Saturday paper could be a complex and costly undertaking.
It is therefore a complex and potentially difficult decision.
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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