For containers that held volatile oils like thinner, leave them out for several days to fully volatilize, then dispose of them as non-combustible waste.

Literal

Thinner [things-like-など] [gen-の] volatile oil-component [subj-が] were-entering thing [regarding-については] several-days leave-out-[and-て] completely volatilize-[do-させて-from-から], non-combustible [as-として] throw-out.

Heavy technical/municipal vocabulary for waste disposal instructions. 揮発性 '(having the property of) volatility' uses the productive ~性 suffix. については '(regarding) / as for X' is the formal topic marker (stiffer than は). 放置する '(to) leave alone / leave unattended' contrasts with 捨てる 'to throw out.' 揮発させて is the causative 'make it volatilize / let it evaporate.' 不燃物 'non-combustible' is the waste-sorting category term in Japanese municipal trash systems.