What does the Bible say about the new covenant in Jeremiah 31?

Jeremiah 31 speaks of a new covenant that God declares He will make with His people, contrasting it with the covenant made at Sinai. This new covenant emphasizes internal transformation, where God writes His law on the hearts of His people, enabling them to delight in His will. It signifies a shift from external adherence to the law towards an intrinsic relationship with God, characterized by forgiveness and renewed faith. This promise is not limited to the physical nation of Israel but extends to the spiritual Israel, the elect gathered from all nations, as seen in Hebrews 8 and 10, which elaborates on the covenant's eternal and redemptive nature.