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"further in the study" is a correct and usable phrase in written English.
It can be used to describe a specific point or advancement within a study or research project. Here is an example: "Further in the study, we began to see a significant difference in results between the control group and the experimental group."
Exact(33)
Further, in the study findings are discussed relating to the new Vietnamese guidelines for the use of human excreta in agriculture to their implications on an on-farm context.
Reasons for nonresponse were school absence, illness and unwillingness to participate further in the study.
Further, in the study of dynamic properties of ions or solvent particles at high pressures, the viscosity measurements of electrolyte solutions are important.
Now there is an extensive literature discussing SDEs with p th moment estimate and stability of the solution (see [7] by Govindan, [8] by Kim, [9] by Li and Fu, and [10] by Mao et al).. Further, in the study of the solution for the SDEs, one question arises naturally: Does the p th moment of the solution assure the solution for such SDEs?
It was observed that only for erythromycin and nafcilin higher recoveries were obtained when applying method 3. Taking this in account and the fact that other compounds were acceptable for screening purposes by method 3, it was decided to use this method further in the study.
Prior to data collection, university ethical clearance was obtained, and then, an announcement containing the aims and the procedures of this research was posted in the IDCourserians Facebook group and people were given options asking if they wanted their data to be excluded and if they would participate further in the study.
Similar(27)
Further in-depth study of the association between headache classification and drinking habit is needed.
Vieille made further contributions in the study of shock waves and pressures and on the stability of nitrocellulose.
This method permitted further advances in the study and development of aromatic (benzene-derived) compounds.
Further work in the study of mechanism is in progress.
This phenomenon will be further confirmed in the study of impact of transmission range.
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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