"posed great difficulties" is correct and usable in written English.
You can use it whenever a situation or task presents a lot of challenges. For example: "The project posed great difficulties, and we had to come up with creative solutions to complete it."
This confusion posed great difficulty for the principal of this particular school: "So we were left then to split our attention three ways: we had to deal with the students who hadn't heard the media reports and came to school anyway, and we dealt with those in exactly the same way as the whole student body had the media not been alerted before us.
The development of coalbed methane (CBM) in China poses great difficulties because of high investments, low production and high risks.
Requiring a furious technique, it rests at the apex of 20th-century piano music and poses great difficulties even for highly accomplished pianists.
This poses great difficulties for the accurate acquisition of product processing information.
It is an understatement to say that this poses great difficulties for the teacher.
It is interesting to note, however, that the high conditioning characteristic of F3 poses great difficulties to all adaptive parameter control systems.
Complex backgrounds, uneven illumination, and presence of almost unlimited number of text fonts, sizes, and orientations pose great difficulties even to state-of-the-art text detection methods.
The reformulated expectation constraints are also different from general expectation constraints as discussed in stochastic programming areas, which pose great difficulties for the exact proof of convergence of the algorithms.
Standing approximately 8 meters tall and spanning 439 kilometers in length, the separation wall, which runs primarily through the West Bank, poses great difficulties for the Palestinian people as it threatens our inherent freedoms; freedom of movement, education, and economic prosperity.
Whereas modern electron microscopes can routinely deliver images of inorganic material at atomic resolution, biological specimens pose great difficulties for EM imaging, significantly reducing the attainable resolution.
