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The phrase "their relation to" is correct and commonly used in written English.
You can use it to indicate the connection or association between two things or people. Example: "The book explores the characters' complex relationships and their relation to the central theme of love and loss."
Exact(60)
We then show their relation to our process model.
In most of Roth's novels, people are ostensibly destroyed by their relation to the state.
Wajchenberg, B. L. Subcutaneous and visceral adipose tissue: their relation to the metabolic syndrome.
Their relation to the Judeo-Christian sect of the Ebionites remains uncertain.
A database of vertebrate longevity records and their relation to other life-history traits.
A database of vertebrate longevity records and their relation to other life‐history traits.
Patterns of weight change and their relation to diet in a cohort of healthy women.
Of the 50 ingredients considered, 40 had been studied for their relation to cancer.
The vast majority have no idea of their relation to one of the nation's leading universities.
Dmitrienko, V. E. & Kléman, M. Tetrahedral structures with icosahedral order and their relation to quasicrystals.
A key difference between movies and TV series is their relation to mortality.
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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