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The phrase "are two fundamental problems" is correct and usable in written English.
It can be used when introducing or discussing two main issues or challenges in a particular context.
Example: "In our analysis of the current situation, we found that there are two fundamental problems that need to be addressed."
Alternatives: "there exist two key issues" or "two primary challenges are present".
Exact(6)
There are two fundamental problems.
There are two fundamental problems: weak and inexperienced private contractors, and rigid and over-detailed contracts.
While their first sentence is correct, there are two fundamental problems with their second sentence.
There are two fundamental problems with how our government currently approaches measurement.
Although inferences obtained in this manner often agree with preconceived notions of genetic structure, there are two fundamental problems.
Thus, there are two fundamental problems for post-genomic research in bacterial molecular genetics.
Similar(54)
Meeting in London is much easier.Aside from the visa question, which is hard to sort because it bumps up against security issues, there are four fundamental problems underlying America's declining competitiveness: Section 404.
There are three fundamental problems that may occur in the process of user participation design: first, the participants/users may not be able to express their requirements clearly; second, they have little knowledge about design; and third, they are generally unfamiliar with the software that designers use.
Except there were two fundamental problems with Beacon.
There are two fundamental unsolved problems that provide the context for the challenges in relating genotype to phenotype.
There are two fundamental approaches to tackling this problem.
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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