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The sentence "this study is limited" is correct and usable in written English.
You can use it when you are discussing a study that has certain conditions or elements that prevent it from being able to examine a wider range of topics or variables. For example, "This study is limited by its relatively small sample size, so its results may not be applicable to a larger population."
Exact(60)
This study is limited by its retrospective study design.
This study is limited by the nature of convenience sampling.
This study is limited on a number of grounds.
This study is limited by its retrospective design.
First, this study is limited by its unit of analysis.
The scope of this study is limited to stochastic analyses.
This study is limited by the modest response rate.
The scope of this study is limited to the study of point wise Lipschitz estimation.
Furthermore, the interest of this study is limited to the land areas.
This study is limited only to the type of arithmetic word problems used in Monsakun.
Finally, this study is limited in various ways, which need to be complemented by future studies.
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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