Greene-Jabuka and Lecuona confirmed the slice-ribbon conjecture for 3-stranded pretzel knots except for an infinite family [Formula: see text], where [Formula: see text] is an odd integer greater than [Formula: see text]. Lecuona and Miller showed that [Formula: see text] are not slice unless [Formula: see text]. In this note, we show that four-fifths of the remaining knots in the family are not slice.