Are people still being translated today, and if they are, do they just disappear, or do we see them as dying, but really they are not actually dying?

Elijah: 2 Kings 2:8-11

"And Elijah took his mantle, and wrapped [it] together, and smote the waters, and they were divided hither and thither, so that they two went over on dry ground. And it came to pass, when they were gone over, that Elijah said unto Elisha, Ask what I shall do for thee, before I be taken away from thee. And Elisha said, I pray thee, let a double portion of thy spirit be upon me. And he said, Thou hast asked a hard thing: [nevertheless], if thou see me [when I am] taken from thee, it shall be so unto thee; but if not, it shall not be [so]. And it came to pass, as they still went on, and talked, that, behold, [there appeared] a chariot of fire, and horses of fire, and parted them both asunder; and Elijah went up by a whirlwind into heaven."

The Three Disciples: 3 Nephi 28:12-22

"And it came to pass that when Jesus had spoken these words, he touched every one of them with his finger save it were the three who were to tarry, and then he departed. And behold, the heavens were opened, and they were caught up into heaven, and saw and heard unspeakable things. And it was forbidden them that they should utter; neither was it given unto them power that they could utter the things which they saw and heard; And whether they were in the body or out of the body, they could not tell; for it did seem unto them like a transfiguration of them, that they were changed from this body of flesh into an immortal state, that they could behold the things of God. But it came to pass that they did again minister upon the face of the earth; ... And now, whether they were mortal or immortal, from the day of their transfiguration, I know not; But this much I know, according to the record which hath been given--they did go forth upon the face of the land, and did minister unto all the people, ... And they were cast into prison by them who did not belong to the church. And the prisons could not hold them, for they were rent in twain. And they were cast down into the earth; but they did smite the earth with the word of God, insomuch that by his power they were delivered out of the depths of the earth; and therefore they could not dig pits sufficient to hold them. And thrice they were cast into a furnace and received no harm. And twice were they cast into a den of wild beasts; and behold they did play with the beasts as a child with a suckling lamb, and received no harm."

Mormon went on to explain the following--which we assume must be applicable to all translated beings:

3 Nephi 28:25-28, 30

"Behold, I was about to write the names of those who were never to taste of death, but the Lord forbade; therefore I write them not, for they are hid from the world. But behold, I have seen them, and they have ministered unto me. And behold they will be among the Gentiles, and the Gentiles shall know them not. They will also be among the Jews, and the Jews shall know them not. ... And they are as the angels of God, and if they shall pray unto the Father in the name of Jesus they can show themselves unto whatsoever man it seemeth them good."

3 Nephi 28:36-40

"And now behold, as I spake concerning those whom the Lord hath chosen, yea, even three who were caught up into the heavens, that I knew not whether they were cleansed from mortality to immortality--But behold, since I wrote, I have inquired of the Lord, and he hath made it manifest unto me that there must needs be a change wrought upon their bodies, or else it needs be that they must taste of death; Therefore, that they might not taste of death there was a change wrought upon their bodies, that they might not suffer pain nor sorrow save it were for the sins of the world. Now this change was not equal to that which shall take place at the last day; but there was a change wrought upon them, insomuch that Satan could have no power over them, that he could not tempt them; and they were sanctified in the flesh, that they were holy, and that the powers of the earth could not hold them. And in this state they were to remain until the judgment day of Christ; and at that day they were to receive a greater change, and to be received into the kingdom of the Father to go no more out, but to dwell with God eternally in the heavens."