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"with this study" is a grammatically correct phrase that is often used in written English.
You can use it to refer to a specific study that has been done or is being done previously, such as in the sentence, "Recent studies have shown that calcium may help to improve bone density, and with this study, we will try to determine the best dietary sources of calcium for optimal bone health."
Exact(59)
I agree with this study wholeheartedly.
Mr. Kessler has no dispute with this study.
There are strengths and limitations associated with this study.
"Now, with this study we have evidence that treatment does matter".
Even with this study, scientists won't be able to create better spider silk tomorrow.
A direct comparison with this study is not possible due to the different cell lines employed.
Again, there's nothing wrong with this study on its own.
Several limitations exist with this study.
There are a number of limitations associated with this study.
Our results are also in concordance with this study.
Similar(1)
With this study we were able to test all these different hypotheses at once.
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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