Although there have been numerous studies on the nature of the virus, the scientists
cannot satisfactorily explain why certain vaccinated people can develop enough immunity to fight any further infection, while others do not.
A. cannot satisfactorily explain why certain vaccinated people can develop enough immunity to fight any further infection, while others do not -> I can see parallelism is lost, as we move from "can" to "do not". Incorrect.
B. are unable to explain satisfactorily why certain vaccinated people are able to develop enough immunity to fight any further infection, while others cannot -> Unable means, scientists cannot find the solution permanently. It is incorrect.
C. are not able to satisfactorily explain why certain vaccinated people are able to develop enough immunity to fight any further infection, while others do not -> not able means, scientists cannot find the solution temporarily. It is better than B. Further, I see parallelism error as we move from "are able" to "do not".
D. cannot explain satisfactorily why certain vaccinated people can develop enough immunity to fight any further infection, while others do not develop -> It has multiple errors, first, parallelism error as mentioned in A and why do we need "develop" in "while others do not develop". Incorrect.
E. cannot satisfactorily explain why certain vaccinated people can develop enough immunity to fight any further infection, while others cannot -> I see a parallel structure. I don't see any error further. Let's keep it.
So, I think E.