26:31a As for the Hebronites, Jerijah was the chief of the Hebronites

Jerijah was listed as the leader of the descendants of Hebron
-or-
There was another decendant of Hebron called Jerijah. He was the chief/leader of the Hebron clan

26:31b according to the genealogies of his ancestors.

in their ancestral records.
-or-
according to their family records in the books of their ancestors.

26:31a–b (reordered)

The family genealogy of the Hebronites showed/identified that the chief of the Hebronites was Jerijah.

26:31c In the fortieth year of David’s reign the records were searched,

King David looked in the ancestral records of Israel in the fortieth year that he was king.
-or-

⌊At that time,⌋ King David had been ruling for forty (40) years. ⌊He ordered his officials⌋ to search the books of the ancestors ⌊of the clans of Israel⌋ .

26:31d and strong, capable men were found among the Hebronites at Jazer in Gilead.

He found many descendants of Hebron who were strong and suitable leaders.
-or-
He discovered that the clan of Hebron had many capable soldiers. They lived at Jazer ⌊town⌋ in Gilead ⌊area on the east side of the Jordan River⌋ .

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