en_tn/1ki/03/02.md

no house had yet been built

This can be translated in active form. Alternate translation: "no one had yet built a house" (See: rc://en/ta/man/translate/figs-activepassive)

for the name of Yahweh

The word "name" is a metonym for the person, and "for the name" refers to worshiping the person. Alternate translation: "in which people would worship Yahweh" (See: rc://en/ta/man/translate/figs-metonymy)