Midrash for Numbers 35:19
גֹּאֵ֣ל הַדָּ֔ם ה֥וּא יָמִ֖ית אֶת־הָרֹצֵ֑חַ בְּפִגְעוֹ־ב֖וֹ ה֥וּא יְמִיתֶֽנּוּ׃
The avenger of blood shall himself put the murderer to death; when he meeteth him, he shall put him to death.
Sifrei Bamidbar
(Bamidbar 35:19) "the avenger, he shall kill the murderer": The mitzvah is the avenger's. Whence is it derived that if he has no avenger, beth-din designates one for him? From "The avenger, he shall kill the murderer when he comes upon him" — in any event.
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