isceliti

1. to heal; to cure
   Verovali su da ih je voda sa izvora iscelila. — They believed the spring water had healed them.
   Vreme će isceliti sve rane. — Time will heal all wounds.
2. (isceliti se) to be healed; to recover
   Posle duge bolesti konačno se iscelio. — After a long illness he finally recovered.

Sounds more elevated than izlečiti and is common in religious and figurative contexts.