Original sentence: Some sources, however, argue that although the popular solutions show the correct numerical answer, they are incomplete or do not solve what those sources consider to be the relevant problem.The probability of gaining the car by alway switching is 2/3 and not 1/2
Edited sentence: Some sources, however, state that although the popular solutions show the correct numerical answer, they are incomplete or actually solve a slightly different problem.The popular solutions  serve as a way of understanding why the probability of gaining the car after switching is 2/3 and not 1/2