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The phrase "an extension of this study" is correct and usable in written English.
It can be used when referring to additional research or work that builds upon or continues the original study.
Example: "The findings of this research have led to the development of an extension of this study, which will explore further implications."
Alternatives: "a continuation of this research" or "an addition to this study".
Exact(22)
This paper is an extension of this study.
In general, the comparisons show: (i) that the constant value of the E peak height of 110 km assumed by the 1995 version seems more reasonable than the value of 105 km used in the 1990 version, (ii) that the situation for the E peak height requires more work and it would be useful an extension of this study using a more complete database.
The mathematical issue will be discussed in another article as an extension of this study.
Then, an extension of this study to sparse image representation and lossy coding contexts has been presented in [23].
It would also be interesting, as an extension of this study, to determine whether this treatment regime could clear both parenchymal and vascular Aβ deposits.
Given the temporal trends in immigration in Ontario, an extension of this study would be to compare our results with those of the 2011 Canadian census and 2011 physician database.
Similar(38)
This study is an extension of this work to assess the accuracy and efficiency of PA and CS models, in particular, the GEE method and the RELR respectively, when multiple imputation techniques are applied to handle missing binary outcomes in CRTs using simulated data.
The present study represents an extension of this work, and aims to investigate the role of the auditory cortex in auditory timing.
This is an extension of the study that we intend to explore subject to the availability of data.
This study presents an extension of that study on the same sample.
Furthermore, this paper is an extension of the study presented in (Ouriques et al. 2013) and gives more evidences favoring the proposed results, since the conclusions are the same.
More suggestions(15)
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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