The Ad26 viral vector is "replication-incompetent", meaning that its ability to multiply has been written out.
"The viral vector used in Johnson & Johnson's Janssen COVID‑19 Vaccine is based on a naturally occurring, low-prevalence human adenovirus. Adenoviruses are known to cause common cold–like symptoms. The deletion of a specific gene renders the adenovirus unable to replicate within humans, transforming it into a delivery vehicle for the genetic material encoding the spike protein of SARS-CoV-2. In this form, the vaccine cannot cause COVID‑19 or adenoviral disease." (https://www.janssencovid19vaccine.com/hcp/how-its-designed.html)
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