qgis - How to Display Overlapping Lines?

I have multiple line layers that represent bus routes and many of the routes overlap (i.e. near terminals, transfer locations, etc.) Is there a function in Qgis which will display both features next/parallel to each other? In the example link, the Red and Purple lines are two separate routes, they both utilize the same roads. The purple line overlaps the red line and the red line is not visible. I appreciate any feedback, even with the bad news that it is not possible.