解:分式的分子、分母都除以$ab$,
得$\frac {2a+3ab-2b}{a-ab-b}=\frac {(2a+3ab-2b)÷ab}{(a-ab-b)÷ab}=\frac {\frac {2}{b}+3-\frac {2}{a}}{\frac {1}{b}-1-\frac {1}{a}}$
∵$\frac {1}{a}-\frac {1}{b}=3$
∴$\frac {1}{b}-\frac {1}{a}=-3$
∴原式$=\frac {2×(-3)+3}{-3-1}=\frac {3}{4}$