1. Technically pH is defined as a property of a water solution, not of a solid nor slurry. Measured "soil pH" is just a proxy of what is present in the soil, not a "real pH".
2. Even if you were asking about just solutions there would be no way to solve for the pH from the information you have - there is not enough data (a lot depends on the composition of the pH changing substances, be it inorganic salts or humic acids, and their buffering properties).
3. As there is no precisely defined "pH of the soil", the number you get as a "soil pH" to some extent depends on the procedure. However, if you follow the same procedure each time, you get a relative number that allows for comparison of different soil samples and lets you classify them as "more acidic" or "less acidic".
4. Water used in the procedure is always saturated with CO2, so its lowered pH actually doesn't matter - it is always part of the procedure, and numbers from every measurement already account for that. You can still use the result for comparing soil samples.