LAX Tower Controller reported clearing an aircraft for takeoff but cancelled it after noticing there was another aircraft that was past the hold bars and close to the runway. The reporter states this has been a recurring issue as the new taxiways W and V act as high speed exits for Runway 24R and are dangerously designed and constructed.

Narrative

Aircraft X landed on Runway 24R; was instructed to exit and hold short of Runway 24L. This was at Taxiway W I believe. Aircraft Y was in position; ready for departure; just waiting for spacing behind upwind traffic. I then cleared Aircraft Y for takeoff; instructed the next departure to line up and wait; and during my scan I noticed Aircraft X was past the hold bars and close to the runway; possibly on it; according to the ASDE. I quickly cancelled the takeoff clearance to Aircraft Y; and then went back to Aircraft X. I confirmed they were instructed to hold short of Runway 24L; which they read back correctly. Rather than discussing it at this time; I instructed Aircraft X to cross the runway with traffic holding in position.I just filed another report with the same issue. These 'new' taxiways W and V that act as high speed exits for Runway 24R are dangerously designed and constructed. There's no other way to put it. According to my Manager we have now had over 10; maybe 12 of these events in the last year since they were built. Some claimed it had to do with the sun being in pilots' eyes; but most pilots now are saying the way the turn was constructed is dangerous because it comes up very quickly.I can imagine this being a critical phase of flight as well; pilots are distracted after landing trying to clean the airplane up. Something beyond a letter to airmen and hotspot labeling needs to be done. Management needs to seriously evaluate the signage; markings; and lighting in that area and make some changes or enhancements to try to mitigate the potential collision that can happen here. I have not confirmed whether or not the RWSLs were operational there.