A (control): rate of purchases of the item WITHOUT the ad present.
B (experiment): rate of purchases of the item WITH the ad present.
If A and B differ significantly then by definition the ad manipulates purchasers. And we all know companies track exactly these metrics, ripe for subpoena.(Separate question is whether this practice is bad for consumers; I'd argue "not all ads are bad" and "no ads is never bad" so to minimize harm, we should adopt "ads are bad until proven otherwise.")