1:19a And he has sacrificed an abundance of oxen, fattened calves, and sheep,

He has ordered many cattle/bulls, fat calves, and sheep to be killed/sacrificed ⌊for a feast⌋.
-or-

⌊And more than that,⌋ Adonijah has ⌊made a great feast⌋, sacrificing a large number of beef-cattle and young/fat buffaloes/cattle and sheep.

1:19b and has invited all the other sons of the king, as well as Abiathar the priest and Joab the commander of the army.

He has invited all your ⌊other⌋ sons, as well as the priest Abiathar and Joab the army commander/general.
-or-
He has asked/called all the ⌊other⌋ royal sons/princes, and ⌊God’s⌋ priest Abiathar, and Joab, the general/leader in command of ⌊your/Israel’s⌋ army, to come ⌊to the feast/celebration⌋.

1:19c But he did not invite your servant Solomon.

However he has not invited your (sing) servant Solomon ⌊to the party/feast⌋.
-or-
He has asked/called ⌊everyone important⌋ except your (sing) humble/good ⌊son⌋ Solomon.

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