Switching to “low-yield” cigarettes, those that yield less nicotine, tar, and carbon monoxide than regular cigarettes when tested on a standard machine, does not, in general, reduce the incidence of heart attack.
Given that ...
Nicotine and CO1 are causal factors in heart disease. and that "Low-yield" cigarettes have less nicotine and CO1 than regular cigarettes.
How can it be that ...
Switching to low-yield cigarettes doesn't, in general, reduce the incidence of heart attack?
Evaluate
It's possible that it's too late to save the smoker's heart by the time they switch to "low yield" cigs. Maybe the long term damage has been done, and so even though their new cigs are milder than their old ones, the incidence of heart attack remains the same because of previous damage.
It's also possible that something else changes when smokers switch to low-yield. Maybe they start smoking more cigarettes than before, so even though each cigarette has less bad stuff in it, cumulatively they still inhale the same amount of bad stuff.
Goal
Look for some story for how people who switch to low-yield cigs still end up with similar heart problems.