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The phrase "are difficult to break up" is correct and usable in written English.
It can be used when discussing something that is challenging to separate or divide, whether it be physical objects, relationships, or abstract concepts.
Example: "The complex nature of their partnership means that their business arrangements are difficult to break up without significant consequences."
Alternatives: "hard to separate" or "challenging to divide".
Exact(3)
Although Albanians are on the whole grateful to America for helping to free their Kosovar brothers from the Serb yoke, Islamic militancy has taken hold among some Albanian émigré groups too.The crime networks in the Balkans, especially those run by Albanians, who are mostly Muslim, are difficult to break up—and some may operate in tandem with Islamic extremists.
For studies of plant biology, high-quality RNA extraction is further complicated when plant samples contain large quantities of polysaccharides, high levels of RNases, various different kinds of phenolics including tannins, low concentrations of nucleic acids (high water content), and/or fibrous tissues such as lignin (wood) that are difficult to break up and remove (MacRae, 2007).
Adding a large amount of flour at one time can lead to lumps in your ugali, which are difficult to break up.
Similar(57)
Success is easy, but continued success is the really hard part - it is difficult to break up a successful side and keep winning trophies but Ferguson is the master there.
The reluctance of Democrats to shut off the cash spigot, even in the face of scandal, underscores how the pressure to raise money creates marriages of political interests that can be difficult to break up.
The social and economic habits that have built up around coal infrastructure are difficult to break.
Habits are difficult to break.
Addictions, after all, are difficult to break.
We are organised, we are difficult to break down.
As with any spirit, ingrained perceptions are difficult to break.
Granted, habits are difficult to break.
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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