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The part of the sentence 'it is difficult to establish' is correct and usable in written English.
You can use it when you need to express that something is hard to determine or confirm. For example, "It is difficult to establish a cause for the recent decline in sales."
Exact(60)
For complex network consisting of more than two fractional-order systems, however, it is difficult to establish its synchronization behavior.
As scopolamine is a non-selective muscarinic receptor antagonist, it is difficult to establish whether its behavioral effects are mediated centrally (cognitive) or peripherally (side effect).
It is difficult to establish an adequate system of law in China and requires more effort".
But, Ms. Marsh said, it is difficult to establish many plants without regular watering.
If there is no access to credit, it is difficult to establish a viable business.
Boivin-Roumestan says it is difficult to establish exactly how many children are affected.
It is difficult to establish a common denominator for all of the artistic expressions of the Islamic peoples.
It is difficult to establish a chronology of Proclus' works.
However, it is difficult to establish a relationship between the wear performance and TRS.
Unfortunately the evidence is contradictory and it is difficult to establish any points with certainty.
It is difficult to establish the accurate and fixed error model for the inertial sensor.
More suggestions(16)
it is difficult to hypothesize
it is difficult to doubt
it is difficult to follow
it is difficult to see
it is preferable to establish
it is difficult to get
it is difficult to build
it is difficult to disagree
it is difficult to believe
it is feasible to establish
it is difficult to look
it is easy to establish
it is difficult to communicate
it is difficult to fight
it is difficult to prove
it is difficult to do
Write better and faster with AI suggestions while staying true to your unique style.
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