ESV Reformation Study Bible – Song 8:9
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Song 8:9

8:9 If she is a wall. That is, if she is firm in her refusal of the marriage proposal. The brothers’ response to this answer will be to “build on her a battlement of silver”; that is, they will confirm her refusal and honor her for it.

if she is a door. That is, if she accepts the proposal. Then the brothers will “enclose her with boards of cedar”; that is, they will refuse her permission to marry.