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"a systematic examination of" is a correct and usable phrase in written English.
It is typically used when describing a thorough or in-depth analysis of something. It can be used in various contexts, such as in research papers, reports, or articles. Example: The project involved a systematic examination of various factors that contribute to consumer behavior, including cultural influences and marketing strategies.
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Challis began a systematic examination of a large area of sky surrounding Adams's predicted location.
"The Adventures of Sherlock Holmes" appeared during the 1890's, for example, when the lie detector was first invented and a systematic examination of fingerprints was published.
Acosta's other significant study is the De procuranda indorum salute (1588), a systematic examination of the problems of missionary work among the newly discovered "pagans" of the New World.
Criminal or offender profiling, also known as criminal investigative analysis, rests on the assumption that characteristics of an offender can be deduced by a systematic examination of characteristics of the offense.
The application of novel tools for texture analysis to a systematic examination of f.c.c.
This paper presents a systematic examination of the process controls on inter-annual variability of annual water balance.
The method was compared with a systematic examination of all candidate solutions and a classical genetic algorithm.
The goal of the current study was to begin a systematic examination of the hemodynamic response in schizophrenia.
These natural history textbooks contained a systematic examination of the organisms of plants, animals, and humans, together with the display of a characteristic representative of each species.
In principle, this work should permit a systematic examination of structure property relationships, leading to a better understanding of intermolecular magnetic coupling.
However, before any improvement can be made, a systematic examination of operator tasks must be carried out first using task analysis methods (Kirwan and Ainsworth, 2001).
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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