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The phrase "a complex and laborious" is correct and usable in written English.
It can be used to describe a task or process that is both intricate and requires a significant amount of effort or time to complete.
Example: "The project was a complex and laborious undertaking that required the collaboration of multiple teams over several months."
Alternatives: "a complicated and tedious" or "an intricate and demanding".
Exact(7)
The formation of a 19-point stencil is quite a complex and laborious procedure.
Analyzing data from well logs and seismic is often a complex and laborious process because a physical relationship cannot be established to show how the data are correlated.
The construction of physical maps for a 5 Gb size genome is a complex and laborious task.
Realist reviews can yield valuable insight for policy makers and program planners, but conducting them is a complex and laborious task.
Although human cartilage is the preferable source of PG, its extraction and purification is a complex and laborious process that includes a variety of biochemical steps.
In this context and considering that PG purification is a complex and laborious process, we determined the arthritogenicity of a commercial source of bovine PG.
Similar(53)
The recent trend toward irregular shapes in high-rise building construction makes planning formwork layouts a more complex and laborious task that has been mainly conducted by a heuristic method based on the intuitive judgment of formwork engineers.
This method is directly applied to protein crystals, which must be produced beforehand using a very complex and laborious technique.
Andrew Sarris of The New York Observer gave the film a negative review, saying "Corpse Bride turns out to be a ponderous mixture of puppetry and animation that is far too technologically complex and laborious for this hopelessly Luddite reviewer".
When borrowers are defaulting in droves, as they are now, loan servicing becomes much more complex and laborious.
Data- bases are notoriously complex and laborious to install; once in, they are painful to extract.
More suggestions(13)
a complex and lengthy
a complex and difficult
a difficult and laborious
a complex and challenging
a complex and painful
a convoluted and laborious
a complex and tough
a complex and burdensome
a complex and daunting
a complex and time consuming
a complex and painstaking
a complex and labour intensive
a long and laborious
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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