To factor the expression 6ab - 3b + 4a - 2, we can group the terms and factor by grouping:
6ab - 3b + 4a - 2 = 3b(2a-1) + 2(2a-1)
Now, we can factor out the common factor 2a-1:
3b(2a-1) + 2(2a-1) = (3b+2)(2a-1)
Therefore, the factored form of the expression 6ab - 3b + 4a - 2 is (3b+2)(2a-1) .
\textbf{Answer:} The factored form is (3b+2)(2a-1) .