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"principal questions" is a correct and usable phrase in written English.
It is usually used to refer to the most important or essential questions that need to be answered. For example, "In order to make a decision on the best course of action, we must first answer the principal questions of what the consequences will be and what resources are necessary."
Exact(42)
We were interested in two principal questions.
Finally, principal questions of the name-based routing, and OpenVPN tunneling is explained.
The principal questions whether this is the right school for my son.
In approaching the principal questions, which remain to be considered, two observations are in order.
We have given the case earnest and prolonged consideration because the principal questions involved are of unusual importance and delicacy.
The principal questions are: What are the barriers to entry and growth that face entrepreneurs in the two countries?
Similar(18)
The principal question in the case was what happens then.
A principal question related to HF heating experiments is how is the disturbed auroral ionosphere modified.
And its principal question is, in a way, about just how much God cares about football.
THE PRESIDENT: That is one principal question which this Court has to decide.
This is the principal question presented for our consideration, and will be first examined.
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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