I've used .45 ACP to shoot numerous wild hogs, but unless I had no other choice, I wouldn't even consider using it on deer. Unless the brain or spine is hit, hogs shot with the .45 can travel a long way, even with a solid hit that penetrates both lungs and exits the far side. My best results have come from using the Lee 230 grain truncated cone bullet cast very hard, since it usually gives complete penetration and a decent blood trail, 230 grain fmjs have the needed penetration through meat and soft tissue, but don't do near as much damage to the lungs and often get caught under the hide on the far side. I gave up on jhps because they seldom gave an exit wound, making recovery problematic. Most of the experience with jhps was with Federal 230 grain Hydra Shoks, admittedly not the greatest bullet ever made, but considered good in its day.
The difference in killing power between the .45 ACP and .44 Magnum is HUGE, I have no qualms with the use of the .44 out to 50 yards on deer, but the .45 in my opinion, lacks the power to be considered a humane, effective caliber for hunting any big game animal.