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"comparing with previous study" is correct and usable in written English.
You can use this phrase when you want to compare your research or findings to what was previously discovered in a prior study. For example, "Our results showed a statistically significant correlation between variables A and B, comparing with previous study which showed no correlation."
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Section 3 briefly introduces our proposed framework and highlights several significant improvements compared with previous study.
The results of the water quality from the study area are compared with previous study in others coastal areas of Bangladesh and standard permissible limit in Table 2.
Compared with previous study, the LLQQ identified in our study was lower than that applied for determination of lesinurad in human plasma [18].
Lastly, the number of the study subjects was small compared with previous study [ 6].
To evaluate the prediction performance objectively, JPPRED is compared with previous study.
New findings were concluded and compared with previous studies.
The results obtained are compared with previous studies.
Compared with previous studies, our study involves a relatively larger sample size.
This finding is not surprising, considering the greater exertional and thermoregulatory strain compared with previous studies.
Our work showed high % removal efficiency compared with previous studies as shown in Table 1.
Thus, compared with previous studies, the present work used this longer version of Csk SH2.
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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