Jesus was though put on Cross, yet he was delivered from the cross in near-dead position.
There are some Muslim traditions which say Jesus died a natural and peaceful death in Srinagar, Kashmir, India, at the age of 120/125 years.
Jesus got a new life after the tribulations faced by him on the Cross. By the grace of God Allah YHWH he survived a cursed death on Cross. Without dying Jesus got a new life; this is a metaphoric usage, in my opinion, in all the language of the world. If one is sick with a deadly disease or faces a trauma in real life, when there is no hope for survival, it is commonly said that that person has got a new life. It is never taken as literal or physical life from the actually dead.
Please see the following documentaries which show that Jesus did not die on the Cross; he migrated to India.