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17. An apparatus comprising a container-handling machine that comprises a rotor that rotates around a machine axis, an inlet transporter that brings containers to said rotor, an outlet transporter that takes containers from said rotor, and a container-handling section that extends along a handling direction along which said containers move after having been taken from said rotor, wherein said rotor comprises handling positions and a transport element, wherein said transport element comprises pockets along a circumference thereof, wherein each of said pockets comprises a flank that forms a first abutment surface that abuts a container during motion thereof, wherein said container-handling machine further comprises a finger that is assigned to said pocket, wherein said finger forms a second abutment surface that adjoins said first abutment surface and that extends in a radial direction away from said machine axis, and wherein said second abutment surface comprises first, second, third, and fourth sections that extend away from said machine axis, wherein said second section is between said first and third sections, wherein said third section is between said second section and said fourth section, and wherein said sections are curved such that acceleration of said container changes sign when crossing between any two adjacent sections.
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