W.E.G. the key word in that sentence is "game".
Are hogs considered game animals or nuicanse animals in Georgia. If they're not game animals then killing them and letting them lie is not illegal.
PROTECTED SPECIES:
It is unlawful to take nongame wildlife except
fiddler crabs, coyotes, armadillos, groundhogs, beavers, starlings,
English sparrows, pigeons, and venomous snakes. Additionally, rats,
mice, frogs, spring lizards, freshwater crayfish, freshwater turtles,
and freshwater mussels may be taken except for species on Georgia’s
Protected Species List.
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(Georgia hunting regs for feral hog)
PRIVATE LANDS No closed season; no limit. Feral hogs may be hunted
at night with a light, which is carried on the person, affixed to
a helmet or hat, or part of a belt system worn by a hunter. No
hunting over bait or from a vehicle. A resident Hunting License is
required to hunt feral hogs for all resident hunters 16 years old or
older, except when hunting on land owned by them or their immediate
family (blood or dependent relationship) residing in the
same household. Non-residents must meet non-resident license
requirements. Contact the Game Management office nearest you
for more information (see page 4).
Feral Hog Control Permits may be issued to landowners experiencing
wildlife habitat destruction and/or agricultural crop damage.
This free permit may be obtained through your local Game
Management office. Restrictions apply. See page 4 for contact
information.
NATIONAL FOREST & CORPS OF ENGINEERS LANDS (out side of WMAs)
Hogs may be taken with archery equipment during archery deer
season, with deer weapons during firearms deer season, with turkey
weapons during turkey season and with small game weapons during
small game season. Pursuing, catching or hunting hogs with dogs is
prohibited during firearms deer season. No limit. No night hunting.
No hunting over bait. Hunting license requirements must be met.
Hunter orange is required during firearms and primitive weapons deer
seasons. It is illegal to release hogs on any public lands. It is illegal
to release hogs on private land without permission of the landowner.
STOCKING Relocating feral hogs is illegal unless they have tested
negative for brucellosis and pseudorabies within 30 days prior to
being moved. Individuals who relocate hogs in violation of laws and
regulations are subject to prosecution by the Dept. of Agriculture.
It is illegal to release hogs on any public lands. It is illegal to release
hogs on private land without permission of the landowner.
WARNING Feral hogs can carry diseases that are transmissible to people.
To avoid possible exposure, wear plastic gloves when field-dressing
feral hogs; wash hands with soap and hot water immediately afterwards;
avoid direct contact with blood and reproductive organs; cook
thoroughly. Properly dispose of all waste.
PROCESSING Any facility that processes hogs for a fee must be licensed as
a red meat establishment by the Dept. of Agriculture. Deer processors
can obtain a Custom Feral Hog Exempt license from the GA Dept.
of Agriculture, Meat Inspection Section for $10. Contact the Meat
Inspection Section at (404) 656-3673 for more information. This
licensing requirement does not apply to anyone processing a feral
hog for their own use.