Any noise over 110dB can damage your ears...
Take it from a guy with -50dB and worse loss in the left ear.
Note: I've had some loss in both ears, easily attributable to 20 years around aircraft and several years riding motorcycles. However, I've had substantially more loss in the mid and upper freqs in my left ear. According to several doctors, this goes hand in glove with a RH handgunner who usually shoots from a Weaver stance; this positions the gun where the left ear takes much more report than does the right ear.
FWIW, I've always worn hearing protection when shooting. I didn't always use double protection, but you can bet I do now.
What it really comes down to is would you prefer plugs and cups now, or hearing aids years down the road?
Cheers,
M