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"arbitrary to" is correct and usable in written English.
You can use this phrase to mean "with no particular purpose or reason." For example, you could say: She made an arbitrary decision to take the day off work.
Exact(60)
That has always seemed arbitrary to me.
This seems arbitrary to me".
The consequences of the financial crisis were largely arbitrary to most Americans.
Of course, it's somewhat arbitrary to single out 1982, but it makes a lot of sense.
It would be equally arbitrary to impose such a distinction in the case of shamanism.
He also struggled to understand their decisions — they seemed so arbitrary to him.
It's bound to appear arbitrary to those who do not know us well (and sometimes even to me).
We tend to pick a selection of favourites, based on any number of criteria, ranging from the whimsical and arbitrary to the philosophical and political.
"It's arbitrary to have cutoff periods that effectively make it harder for that opportunity loss to be valued in the divorce," Ms. Murphy said.
It seemed arbitrary to shift from the grimly strange Escher piece to Saint-Saëns's stylishly Romantic, light-hearted Piano Concerto No. 2. Still, it was enjoyable to hear the pianist Jean-Yves Thibaudet play this dazzling piece with such daring.
To be sure, Mr. Hockney's work has been influenced by a whole century of French talent, from Ingres to Picasso, so that it seems a little arbitrary to focus on his relationship with Matisse.
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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