The anointing oil ... is upon you - See Leviticus 8:12, Leviticus 8:30. The holy oil, as the symbol of the Holy Spirit, the Spirit of Life and immortality and joy, was the sign of the priests being brought near to Yahweh. It was therefore by its meaning connected both with the general law which forbade the high priest ever to put on signs of mourning on account of death Leviticus 21:10-12, and with the special reason for the prohibition on this occasion.

The anointing oil of the Lord is upon you - They were consecrated to the Divine service, and this required their constant attendance, and most willing and cheerful service.

And ye shall not go out from the door of the tabernacle of the congregation, lest ye die,.... That is, they were not to relinquish the service of the sanctuary, on the account of the death of these relations of theirs, and through grief for it, but go on in it; not Aaron on account of his children, nor his sons on account of their brethren: from hence, says Ben Gersom, we learn, that whatsoever priest leaves his service, and goes out of the sanctuary, is guilty of death: some think the seven days of consecration were not quite over, during which time Aaron and his sons were obliged to continue there, on pain of death, Leviticus 8:33 but it is pretty plain those days were over, and that it was the day after the consecration was finished; see Leviticus 9:1 and See Gill on Leviticus 10:2 wherefore this respects their continuance in the tabernacle on the day the above affair happened, and they were obliged to continue in and go through the service of the day, notwithstanding that:

for the anointing oil of the Lord is upon you; a learned man (o) infers from hence, that this affair happened within the days of consecration, they being every day afresh anointed with oil, at least had it, with the blood of the sacrifices, sprinkled on them, on their garments, taking it in the strict sense, for the oil being still upon them; whereas it seems only to signify, that inasmuch as they were consecrated with oil to the priest's office, they were under obligation to continue and perform their service without being let or hindered by what had happened:

and they did according to the word of Moses; they showed no tokens of mourning on account of the dead, and did not offer to go out of the tabernacle and leave their service.

(o) Clayton's Chronology of the Hebrew Bible, p. 353.

The latter were not to go away from the door (the entrance or court of the tabernacle), sc., to take part in the burial of the dead, lest they should die, for the anointing oil of Jehovah was upon them. The anointing oil was the symbol of the Spirit of God, which is a Spirit of life, and therefore has nothing in common with death, but rather conquers death, and sin, which is the source of death (cf. Leviticus 21:12).

And ye shall not go out from the door of the tabernacle of the congregation, lest ye die: for the anointing oil of the LORD is upon you. And they did according to the word of Moses.

10:7 Ye shall not go from the tabernacle - Where at this time they were, because this happened within seven days of their consecration. The oil of the Lord is upon you - You are persons consecrated peculiarly to God's service, which therefore it is just you should prefer before all funeral solemnities.

10:3-7 The most quieting considerations under affliction are fetched from the word of God. What was it that God spake? Though Aaron's heart must have been filled with anguish and dismay, yet with silent submission he revered the justice of the stroke. When God corrects us or ours for sin, it is our duty to accept the punishment, and say, It is the Lord, let him do what seemeth him good. Whenever we worship God, we come nigh unto him, as spiritual priests. This ought to make us very serious in all acts of devotion. It concerns us all, when we come nigh to God, to do every religious exercise, as those who believe that the God with whom we have to do, is a holy God. He will take vengeance on those that profane his sacred name by trifling with him.