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'the operations with' is a correct and usable phrase in written English.
You can use this phrase to refer to a specific set of activities and/or procedures. For example, "We have been studying the operations with large numbers in math class."
Exact(23)
The modern technology of the equipment allows optimisation of the operations with respect to the operating conditions.
Banco Santander will combine the operations with its consumer finance and card divisions.
He will be involved in several aspects of the operations, with an emphasis on special teams.
Onlookers described their shock at the operations, with one member of the public saying it was akin to "Nazi Germany".
Afghans lead nearly half of the operations with NATO partners; night raids, with Afghans now fully in the lead, have taken many skilled insurgents off the battlefield.
Such contamination can be reduced by carrying out the operations with dilute solutions and by adding the precipitating agent slowly; an effective technique is that called homogeneous precipitation, in which the precipitating agent is synthesized in the solution rather than added mechanically.
Similar(36)
She expanded the operation with volunteers.
He completed the operation with time to spare.
Officially, the Hondurans were running the operation, with the D.E.A. agents present as "advisers".
Under the proposed agreement it will share the operation with United.
We published details of the operation with photos, and uploaded the video to our website.
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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