Lexmark is a subsidiary of LexCorp, along with other Lex- prefixed consumer productsIt's well established LexCorp does legitimate business the normal way. When IBM divested itself from the printer business in the 1990s, LexCorp just made a good offer, instead of it spinning into a different company. In the immediate post-Crisis comics by John Byrne, we see LexCorp branded computers on desks at the Daily Planet. They also made a word processor called LexIcon, a pocket stereo called LexMan etc.
Lex has a superpowerIt's called Super Self-Delusion.
Lex is in love with Superman but he refuses to admit it to himselfWhy do you think he dated the Supergirl Matrix?