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The phrase "and its methodologies" is correct and usable in written English.
You can use it when referring to a subject and the specific methods or approaches associated with it.
Example: "The research paper discusses the theory of relativity and its methodologies in detail."
Alternatives: "and the methods used" or "along with its techniques".
Exact(8)
Synanon claimed that it could cure addiction to heroin, and its methodologies such as attack therapy, forced confessions, and imposed powerlessness spread throughout the United States.
It is an artifact of classical science and its methodologies: collecting and classifying objects; creating categories and grids to organize them.
This chapter focuses on the enterprise architecture framework and its methodologies.
To achieve fair comparison between vSLAM algorithms, benchmarking is obviously important and its methodologies have been discussed in recent years.
Diestro and Gª Blanco [14] underlined that reports and resolutions about critical subjects that aggravated European educational systems (expansion and democratisation of education, language learning and its methodologies, construction of schools, education for all, schooling for the children of immigrants, etc).
The Cardiovascular Outcomes in Renal Atherosclerotic Lesions (CORAL) trial was designed to answer the same question as to which treatment (medical or angioplasty and stent) is best for renal artery stenosis, and its methodologies took into consideration the weaknesses of the ASTRAL trial.
Similar(52)
The project is based on the DE-PLAN programme and its methodology, though it has been adapted to the OSAKIDETZA centres.
To put the size of comScore into some context, its factsheet claims it tracks more than three million unique websites worldwide and its methodology page says it has "approximately two million worldwide consumers under continuous measurement".
Ms. Gibbs, the deputy mayor, defended the study and its methodology, saying that it had used nationally accepted research methods and that no other group had produced a comparable analysis.
It uses a larger sample size than most other polls, and its methodology includes calls to cellphone voters.
As with space travel, its practitioners were select and its methodology graspable by a chosen few.
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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