For how long can the pink eye virus live on bed sheets?

Quite some time. Pink eye is caused by the same virus responsible for the common cold (adenovirus). Although it is the most contagious infection, it is usually self-limited and clears within 2 weeks. Left on an inanimate object like sheets or a door handle, the virus can last anywhere up to 10 or more hours. If someone has pink eye, they sohuld not share utensils or linens and should use alcohol cleansers often.
2-3 days. the virus lives in cells. Those cells must be living. The cells will die in 2-3 days and the virus then will not be able to replicate.