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The phrase "a central difficulty of" is correct and usable in written English.
It can be used when discussing a primary challenge or issue related to a specific topic or situation.
Example: "A central difficulty of implementing the new policy is gaining employee buy-in."
Alternatives: "a key challenge of" or "a main issue of".
Exact(3)
A central difficulty of falsification is behavioural rather than theoretical – falsificationism is an ideal.
A central difficulty of utopian fiction is the lack of dramatic conflict; a state of perfection is inherently uneventful.
A central difficulty of the government's reforms is the need to offer an improved service that is "nonbureaucratic, patient-driven, clinician-led", while also grappling with a requirement to make significant savings.
Similar(57)
Although the influence of genetic susceptibility to CRC is well documented, a central difficulty in the identification of the genetic factors influencing CRC is the inability to adequately cope with the phenotypic heterogeneity present in all complex diseases.
Beth Cooke expressively captures her turmoil, yet there is a central difficulty with the characterisation of Karin.
A central difficulty in evolution education is that many of the "classic" examples found in textbooks and other outlets (e.g., Darwin's finches, peppered moths, the evolution of horses) seem irrelevant to everyday experiences of most people (Hillis 2007; Thanukos 2009).
But there was a central difficulty in winning over the Russians.
A central difficulty is the uneasy relationship between Belgrade and the other Yugoslav republic, Montenegro.
The central difficulty of bargaining with secessionists, as Daniel W. Crofts writes in "Lincoln and the Politics of Slavery," is that so many secessionists were hysterical.
The central difficulty of using the Equal Protection Clause in partisan gerrymandering cases is that equal protection analysis relies on evaluating the permissibility of a given classification; unlike racial classifications, the Court does not generally view political classifications as per se impermissible.
On the other hand, the central difficulty of the kinetic description has been overcome by means of the classical linearization method of the thermodynamics of the irreversible processes, i.e. assuming each reaction rate proportional to its affinity.
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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