With England 4 down, Starc struck early to send Ben Stokes packing.
Boland struck in his first over of the day once again, with 3 wickets in 2 overs.
Boland got Joe Root for 28, as the England captain finished a successful and consistent 2021 as the third-highest run-getter for a calendar year with 1708 runs.
Boland finished with Man of the Match figures of 6-7 as Australia beat England by an innings and 14 runs to secure the Ashes 3-0.