The former Reinhold Ice Cream plant on the North Side was sold at a sheriff's sale yesterday to BLN Capital Funding, a Chicago-based firm that claimed in court documents it was owed more than $4 million on Reinhold's mortgage. At the sheriff's sale, BLN paid $2,215 for the nine parcels that comprise the property, according to Brendan Delaney, an attorney familiar with the case. The Reinhold plant for the past year has been operated by LaSalle Pittsburgh Corp., an affiliate of a New York-based dessert and coffee company. An official of LaSalle yesterday declined to comment on the property sale.