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Discover Ludwig"was within" is correct and can be used in written English.
It is typically used to indicate that something was contained within a certain area or region. For example, "The city was within a mile of the beach."
Dictionary
was within
adverb
In or into the interior; inside.
synonyms
Exact(58)
Such monitoring, he said, was "within expectation".
But what was within?
He was within a group.
An exit was within reach.
"This was within my family of bureaus.
The coveted division title was within reach.
Everything he needed was within me.
"It was within the rules.
History was within his grasp.
Similar(2)
Volume was within projections.
Editing was within-breed.
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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