1. **State the problem:** Simplify the expression $$\frac{3a - 1}{18a} + \frac{4a + 2}{9a}$$. 2. **Identify the common denominator:** The denominators are $$18a$$ and $$9a$$. The least common denominator (LCD) is $$18a$$. 3. **Rewrite each fraction with the LCD:** $$\frac{3a - 1}{18a} + \frac{4a + 2}{9a} = \frac{3a - 1}{18a} + \frac{(4a + 2) \times 2}{9a \times 2} = \frac{3a - 1}{18a} + \frac{8a + 4}{18a}$$ 4. **Add the numerators over the common denominator:** $$\frac{3a - 1 + 8a + 4}{18a} = \frac{(3a + 8a) + (-1 + 4)}{18a} = \frac{11a + 3}{18a}$$ 5. **Final simplified expression:** $$\boxed{\frac{11a + 3}{18a}}$$ This is the simplified form of the given expression.