In a regression, there is a independent variable x, say x is a  positive number indicating number of months.
Is it appropriate to include both the original value(X) and its Log transformation(logX) as the independent variables in a regression? Does it have multi-col-linearity issue even if the VIF test is passed?

If it is appropriate, what is the rational behind this, I understand  X and X square can be both included to capture the non linear effects. But never see X and LogX before.