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The phrase "a much simpler operation" is correct and usable in written English.
You can use it when comparing the complexity of different operations or tasks, indicating that one is easier than another.
Example: "After reviewing the two methods, we found that using the new software is a much simpler operation than the previous manual process."
Alternatives: "a far easier task" or "a significantly less complex procedure."
Exact(1)
It should be mentioned, of course, that cranial replacement is a much simpler operation than the functional and aesthetic restoration of the jawbones.
Similar(59)
Conditions are therefore significantly different than in previous works, offering a much simpler and cheaper solution to up-scale for industrial operation.
Since x 3 is fixed and the squaring is a linear operation over (mathbb {F}_{2}), we see that symmetrization leads to a much simpler polynomial.
Smoking supplies are a much simpler affair.
"I'd write a much simpler bill.
But it was a much simpler time.
There's a much simpler attitude.
"Undisputed" takes a much simpler tack.
Of course, the race is a much simpler activity.
Jack in the hospital was a much simpler crossover.
I have a much simpler and cheaper idea in mind.
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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