Bekhorot 31: three things to remember

Repentant backsliders and former tax collectors are reaccepted as haverim, following Rabbi Shimon and Rabbi Yehoshua ben Korcha.
A single expert cannot inspect his own firstborn due to bias, but may inspect his animal tithes and consecrated offerings.
Disqualified sacrifices are sold in public markets to benefit hekdesh, but firstborn and tithe sales remain restricted to the home.