To combine the two fractions \(\frac{2}{2x-3} + \frac{1}{2-x}\) into a single fraction, follow these steps:

1. Notice that \(2 - x\) is the same as \(-(x - 2)\) or \(-(2x - 3)\) with a sign change. So, \(\frac{1}{2-x}\) can be rewritten as \(-\frac{1}{2x-3}\).

2. Rewrite the expression using this simplification:
\[
\frac{2}{2x-3} + \frac{1}{2-x} = \frac{2}{2x-3} - \frac{1}{2x-3}
\]

3. Now, combine the fractions since they have a common denominator:
\[
\frac{2 - 1}{2x-3} = \frac{1}{2x-3}
\]

Therefore, the correct answer is C. \(\frac{1}{(2x-3)(2-x)}\).