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The phrase "a complex task with" is correct and usable in written English.
It can be used when describing a task that involves multiple components or challenges, often requiring careful consideration or effort.
Example: "Completing the project on time is a complex task with many variables to consider."
Alternatives: "a challenging task involving" or "a difficult task that includes".
Exact(9)
Likewise, the random nature of the sources makes the sizing a complex task with regard to a conventional system.
But the management of this environment is a complex task, with an increasing number of heterogeneous devices interconnected.
'Pop- up' governance has worked particularly well for the UK10K project2 and enabled the project to reach its objectives, despite this being a complex task, with a large number of contributing partners, all with different expertise and interests.
Even though the implementation of the Mobility Partnerships has at times been a complex task, with local implementers unsure about the purpose of the projects and their coherence with the local reality, in both cases, the European Commission perceives them as achievements, even if no proper evaluation mechanisms have been set to monitor their consequences.
That he was able to pull off such a complex task with a winning combination of ribald humor and genuine pathos is a testament not only to his writing and directing skills, but also to the sharpness and flexibility of his talented cast (most of whom took on multiple roles).
Central line catheter insertion is a complex task with a high cognitive load for novices.
Similar(51)
However, it is a complex task to deal with the conflicting aspects of sustainable development.
Optimization of dampers design is a complex task usually associated with analysis of nonlinear contact problems and complicated experimental verification.
The design and operation of a bioreactor as the main element of fermentation is a complex task, not only with respect to a reactor's configuration and size but to the control and mode of operation.
Targeting insight in schizophrenia is a complex task, that comes with several methodological issues.
However, when users conducted a complex task on a website with medium complexity, task completion time, fixation count, and fixation duration were all at their highest level.
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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