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Discover LudwigSuggestions(5)
"each of their" is correct and can be used in written English.
You can use it to refer to the possession of multiple things by two or more people. For example: "My parents have always been supportive of my dreams, and each of their words of encouragement has meant a lot to me."
Exact(60)
"On it are each of their names.
They will outweigh each of their partners.
Each of their pieces has a spiritual springboard.
Each of their two children now has a bedroom.
I understood the inevitability of each of their deaths.
"People found flaws in each of their games.
Trump may kill each of their candidacies off.
Each of their protagonists is dead, insane or (somehow) both.
The car also contains each of their children.
Each of their limited-edition singles have sold out quickly.
and each of their names is a vow.
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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