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The phrase "adequacy of both" is correct and usable in written English.
It can be used when discussing the sufficiency or appropriateness of two items, concepts, or conditions in a particular context.
Example: "The adequacy of both the budget and the timeline will determine the project's success."
Alternatives: "sufficiency of both" or "suitability of both".
Exact(9)
By comparison, there is weak scientific evidence as to the nutritional adequacy of both the low-carbohydrate and low-fat diet programs, the Agriculture Department found.
The obtained correlation coefficients and analysis of variance (ANOVA) test results evidence the adequacy of both models.
The results indicate the adequacy of both types of element formulations in predicting the displacement time history and the maximum displacement with reasonable accuracy.
This danger calls into question the adequacy of both our aims and the practices, values, and institutions that our society supports.
To assist the expert judgement needed to assess the adequacy of both guideline and non-guideline ecotoxicity data for nanoparticles for regulatory use, Hartmann et al. [42] have developed a structured, transparent and reproducible science-based approach.
The non-significant lack-of-fit for biomass (F=2.83; P=0.105>0.05) and biosurfactant (F=0.72; P=0.697>0.05) models suggest the adequacy of both models to explain data in the region of experimentation.
Similar(47)
The state is responsible for ensuring the adequacy of resources both financial and human, and proper resource allocation.
The level of CO2 at the end of expiration (etCO2) is normally within a few millimetres of mercury of the arterial CO2, and it is very useful for assessing adequacy of ventilation during both spontaneous and artificial ventilation [52]. .
These published benchmarks were used in this current study to assess the adequacy of cleaning for both Phase I and II studies and were set at; < 6.4 ug/cm2 of residual protein, < 1.8 ug/cm2 of hemoglobin and < 4 log10 viable bacteria/cm2 [ 25, 28].
Elders could be faced with greater losses in the context of fewer social resources and a lower adequacy of social support, both in subjectively perceived support and frequency of contacts.
While benefits of protection were evident, the cost-benefit of implementing similar MPAs should be carefully considered as the partial protection status and small size of the MPA limit both the adequacy of the MPA for protecting a larger range of species, and the magnitude and thus detectability of effects.
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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