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Discover LudwigThe sentence 'is arbitrary' is correct and usable in written English.
You can use it when referring to something that has been chosen based on personal preference or for convenience, rather than for any particular reason. For example: "The location of the meeting is arbitrary; it could be held anywhere."
Dictionary
is arbitrary
noun
Anything arbitrary, such as an arithmetical value or a fee.
Exact(59)
Its form is arbitrary.
"This is arbitrary detention.
The date is arbitrary.
The fee is arbitrary.
This special pleading is arbitrary.
Life is arbitrary; things just happen.
"The verdict is arbitrary and political.
Very little in the universe is arbitrary.
Above all, the real is arbitrary.
"His continued detention is arbitrary and unjust.
"The problem is the drawing of boundaries is arbitrary".
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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