Without damage to what? The speakers? Or your ears??
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Power handling per the manufacturer is 50 watts. With a speaker sensitivity of 83db, 90db peaks at 1.8 meters would require 16.2 watts. 95db peaks would require 51.4 watts. 95db is very likely the SPL limit of your speakers before damage becomes likely. Sustained power handling is usually about 2/3 of max power, so in this case it’d be ~25 watts.
Since most phone apps measure between 5 and 10db lower than a real c-weighted meter, you’re likely listening at higher SPLs than you thought. So if you’re really at 90db averages, you might be risking speaker damage with highly dynamic music. There’s only so much a 5" driver can handle.
This is assuming anechoic or semi-anechoic conditions. With a couple db of wall gain they'll be less stressed.
Power, thermal compression sets in far before you even approach the headroom limit of your Luxman. I know from experience owning Harbeth 30.2 that Harbeth speakers are just not meant to be played loud. Continuous spl levels of above 90dB will lead to a very compressed soundstage and audible resonance from the cabinent in the lower bass frequencies. If you want louder you absolutely must go to the 40.1 or better yet get a different speaker...