The second distillation, in the rectificator still, produces Tequila at 55-56% ABV.

FORBES: For Bartenders, By Bartenders: Deluxe New Gin, Rum, Tequila And Vodka

There is no filtration after the second distillation.

FORBES: For Bartenders, By Bartenders: Deluxe New Gin, Rum, Tequila And Vodka