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"establish its validity" is a correct and usable phrase in written English.
It can be used in a variety of contexts, but it is commonly used when discussing the proof or support for a statement or argument. Example: The scientist conducted several experiments to establish the validity of their hypothesis.
Exact(12)
However, although the assumption that infants' looking behaviour reflects a goal attribution is rarely questioned, it is important to establish its validity, given that the argument that infants' behaviour provides support for the mirror neuron theory of action understanding relies on this assumption.
As soon as one has a right-iterated implication in the premiss of a rule, we have to rely on non-elementary reductions to establish its validity.
This hypothesis might also contribute to explain the results obtained, but further experiments using this experimental model are needed in order to establish its validity.
Further psychometric evaluation of the SSRQ is necessary, however, to further establish its validity and utility as a measure of generalized self-regulation capacity.
Further study is ongoing to formally establish its validity as a predictor of fluid responsiveness, especially in surgical ICU patients.
The validity is not limited to this study; wider use and repetition in various situations will establish its validity.
Similar(48)
That is to say, it depends on other sequence-determining principles for establishing its validity.
"I think that Middletown has established its validity as a place to invest.
Although there are already important studies that make use of subjective probabilities to explain economic behavior, a large proportion of the literature to date has focused on assessing the properties of the elicited information and establishing its validity.
The use of a grading rubric that is developed collaboratively and is authentic to clinical examiners language and understanding establishes its validity for the assessment task [ 45].
To provide a disease questionnaire for respondents belonging to other groups requires adaptation, modification and establishing its validity within a different cultural context [ 21].
More suggestions(13)
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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