According to the counterfactual comparative account (CCA), an event harms a person if and only if it makes things worse for her. Cases of overdetermination and preemption pose a serious challenge to CCA since, in these cases, although it is evident that people are harmed, there are no individual events that harm them. However, while there are no individual events that make people worse off in cases of overdetermination and preemption, there are pluralities of events that do so. In light of this feature of these cases, several philosophers have suggested that it is these pluralities that do the harming. In this article, I will argue that although the most prominent accounts of plural harm - e.g., Neil Feit's account - fare better than one might initially think, they fail to deal adequately with a number of intriguing cases of preemption first introduced by Alastair Norcross. I will also introduce a new view on plural harm and argue that this view, apart from dealing with the cases of overdetermination and preemption that the other accounts of plural harm handle, also deals adequately with Norcross's cases.