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The part of the sentence "are difficult to define" is grammatically correct and usable in written English.
You can use it when you want to express that something is hard to explain or understand. For example: "Love and friendship are difficult to define, but the feeling of each is unmistakable."
Exact(59)
Common interests are difficult to define, making burden-sharing agreements difficult to reach.
Rule 404 employs terms that are difficult to define with precision.
It's true that the stages of that development are difficult to define precisely.
Then there are things that are difficult to define or lack a word.
One of the problems in ranking executive MBAs is that they are difficult to define.
Neural networks, like brains, are particularly good at analysing data and recognising patterns that are difficult to define precisely.
Ah, but these categories are difficult to define, said Rabbi Shmuly Lein, who helps run the center.
The plan now backed by the Bush administration has chosen to grapple first with that question through the phenomenon of outposts, which are difficult to define.
In general, scientists agree that carbon sinks are important, but their properties are not well understood and they are difficult to define and measure.
And so he must conjure with the notion of a Jewish sensibility, whose elements are difficult to define and can easily be found among non-Jews.
The borders of Patagonia are difficult to define, but the name generally refers to the glacier-studded, cone-shaped land mass that straddles Chile and Argentina at the tip of South America and tapers down to Cape Horn.
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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