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The phrase "within this domain" is correct and usable in written English
You can use it when referring to a specific subject matter, field of knowledge, or area of activity. For example: "Within this domain of health care, there have been many advances in treatments and therapies in recent years."
Exact(60)
Within this domain, wealth management presents particular challenges, as the profession depends on secrecy and is governed by a code of conduct that requires strict privacy.
Within this domain, the question about sexuality was considered important by the most respondents.
Within this domain, L2 listening has gained increasing attention from researchers for several reasons.
Within this domain, it concerns theoretical considerations on comfort and discomfort.
Within this domain, ISCD had the highest score (78.1% = acceptable) while the ACR-SPR-SSR Guideline had the lowest (61.5% = acceptable).
Within this domain, AIUM guidelines [12] had the highest score (63.9% = acceptable), while the EULAR guidelines [14] had the lowest score (41.7% = very low).
Within this domain model, a number of characteristics are identified: 1. Absence of 'metathings' such as facts, ideas or locations 2.
Within this domain, all WMB exhibits a complex mechanical response, with gel-like characteristics, thus suggesting the existence of physical networks and interconnections between contiguous wax crystalline segments.
Within this domain 37 amino acids are responsible for binding the virus.
Within this domain there are binding motifs for Tsg101 and endophilin A1, two proteins involved in endocytosis [9].
Within this domain, one amino acid is conserved between BBS6 and CCTα of diverse organisms: glycine 346 from T. thermophila CCTα.
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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