As this is clearly syntactically correct, the question that remains is: "Is this UB because of unsequenced writes?"
It is not (in C++11 and later) because
5) The side effect of the built-in pre-increment and pre-decrement operators is sequenced before its value computation (implicit rule due to definition as compound assignment)
(From here)
So the code is fine as of C++11.
However, the sequencing rules were different before that, and pre-C++11, the code actually has UB.
In C, that code does not even compile.
The fact that the behavior is different between C and C++ and even between different C++ standards and that this question arises in the first place is a hint that the simple count += 2;
is the safer and more readable version. You should prefer it over the "cute and clever" ++ ++count;
.