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The phrase "a criterion that could" is correct and usable in written English.
It can be used when discussing a standard or principle that has the potential to influence a decision or outcome.
Example: "We need to establish a criterion that could help us evaluate the effectiveness of our new marketing strategy."
Alternatives: "a standard that might" or "a benchmark that could".
Exact(4)
These are likely to add a country's ratio of debt to gross domestic product as a criterion that could lead to sanctions, rather than just deficit ratios, as is the case now.
Additionally, this study derives a criterion that could determine the single-edge-cutting phenomenon in multi-tooth micromilling from the geometric relations.
The Texas A&M University system, in 2006, was the first to explicitly state in its policy that technology commercialization was a criterion that could be used for tenure.
In the current study, we decided to re-examine the performance of the criterion of alternating buttock pain, because of the high cost associated with MRI-SI: we were searching for a criterion that could help us in deciding which patients should undergo MRI-SI.
Similar(56)
One example of a key criterion that could not be directly and reliably accounted for by the ASAP tool was Ejection Fraction (EF) in the heart failure trials.
Therefore, we adopted a simple criterion that could be easily reproduced: Tonic responses were considered positive if there was a change in amplitude from the preexposure period (of the session) by at least 0.5 microsiemens (μS) about 20 sec after the introduction of the substance.
It is also used to provide an ignition criterion that could simplify the theoretical description of the ignition process.
We defined as correlates any criteria that could be construed as antecedent to, or an outcome of, a functioning sex life or criteria that were "a degree or so removed from explicit sexual behaviour" [ 15, p 293].
Another criterion that could be used to define the School is an essentially ambivalent attitude toward Western modernity (or toward modernization as Westernization).
Another criterion that could be taken into consideration is the presence of spectral broadening and bidirectional flow, which suggests the existence of flow disturbances [28].
Another evaluation criterion that could make the comparison of OLAP and SOLAP systems difficult is the difference of the recommendation parameters and the difference of the recommendation processes used in both systems.
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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