Celebrex’s New Ad — Guaranteed Death? “Any prescription NSAID, including Celebrex, may increase the chance of heart attack or stroke, which can lead to death… All NSAIDs, including Celebrex, also increase the chance of serious skin reactions or stomach and intestine problems, such as bleeding and ulcers, which can occur without warning and may cause death.” Is this serious? Are they serious? Honestly, we need to think about how much freedom we give these pharmaceuticals.