Midrash for Ketubot 90:7
נאמר שעריך למטה ונאמר שעריך למעלה מה שעריך האמור למעלה שער שעבד בו אף שעריך האמור למטה שער שעבד בו
It says “your gates” below and it says “your gate” above, just as “your gates” referred to above refers to the gates where he worshipped, so too “your gates” referred to below refers to the gates where he worshipped.
Sifrei Devarim
"in one of your cities": What is the intent of this? Because it is written (Ibid. 5) "Then you shall take out that man or that woman who did this evil thing, to your cities (lit., "gates"), I might think, the reference is to the gate (i.e., the beth-din) in which he was judged; it is, therefore, written "gates" (verse 2), "gates" (verse 5). Just as "gates" (2) refers to the city in which they were found and not to the gate (beth-din) in which they were judged, so, "gates" (5) refers to the city in which they were found and not to the gate (beth-din) in which they were judged.
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