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The phrase "additional difficulties for the" is correct and usable in written English.
It can be used when discussing challenges or obstacles that affect a specific subject or group.
Example: "The new regulations have created additional difficulties for the small business owners trying to comply."
Alternatives: "extra challenges for the" or "further obstacles for the".
Exact(1)
However, it is unclear whether Field has established the conservativeness of mathematics, given his restrictive way of introducing non-set-theoretic vocabulary into the axioms of set theory as part of his attempted proof of the conservativeness of set theory (Azzouni 2009b, p. 169, note 47; additional difficulties for the mathematical fictionalist program can be found in Melia 1998, 2000).
Similar(59)
This feature of the fretting problem poses an additional difficulty for the modeling of the early cracking orientation.
Step in the Mel-cepstral feature extraction corresponds to the Mel-filterbank, which is a linear transformation and bears no additional difficulty for the propagation of mean and covariance.
The legal status of such individuals, under the laws of armed conflict and the Geneva Conventions, is unclear, presenting additional difficulty for those prosecuting and defending against cyberwar.
The rhetorical exhortations this week from the Obama administration and the Netanyahu administration in Israel have been notably unaligned, fulfilling fears that the new, right-leaning Israeli government may present additional difficulties for US foreign policy interests in the region.
In addition, the processes and outcomes of the attribution of costs in NHS research have caused additional difficulties for researchers.
"They're knocking, calling, and this is creating additional difficulties for us in this unpleasant situation".
Moreover, energy-saving systems create additional difficulties for lockout.
But in Russia, the mentality of mistrust and strong disfavor when business venture fails creates additional difficulties for innovative development.
These results suggest additional difficulties for evaluation and annotation of very high coverage depth De-Bruijn based assemblies.
In the last twelve months, population in Darfur IDP camps has steadily increased due to continued conflict and additional difficulties for humanitarian access in remote areas.
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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