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The phrase "and their validity for" is correct and usable in written English.
It can be used when discussing the legitimacy or applicability of something over a certain period or context.
Example: "The researchers examined the theories and their validity for contemporary applications in the field."
Alternatives: "and their relevance to" or "and their applicability for".
Exact(5)
Four existing compressive strength prediction equations are examined and their validity for the different series investigated.
First, both the CHADS2 and HEMORR2HAGES scores were based on Medicare data, and their validity for use among younger patients has not been established.
These data have been used extensively for research and their validity for use in research has been confirmed in multiple studies [ 34– 34].
There are several technologies for monitoring sedation status based on electroencephalogram (EEG) analysis, but these were developed primarily for monitoring the depth of anaesthesia and their validity for use in ICU patients is uncertain [ 16].
The aim of this retrospective study was to describe in more detail the relation of basal TSH levels to the TRH-stimulated levels and their validity for the detection of latent hypothyroidism.
Similar(55)
Calibration models constructed in this analysis by using FAO food-supply data and country-level covariates effectively adjusted FAO estimates and improve their validity for estimating dietary intakes at the national level and by age and sex.
Detailed dynamic process models of the power plant and the post-combustion unit were developed, and their validity was deemed sufficient for the purpose of application.
Empirical values do not reproduce the temporal and spatial variability of atmospheric states, and their validity has not been confirmed for various types of climate change, such as global warming conditions.
Pre-competitive biomarkers, animal models, and clinical outcome assessments have been termed "drug development tools" (DDT) by the FDA, which established an official process, termed "qualification", for review and confirmation of their validity for a given context of use.
Although local and national patient survey data are available in some countries, few staff members use such data to guide service improvement, and some skepticism is expressed about their validity for local QI efforts [ 12].
However, their validity for young breast cancer patients is debated.
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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