A Meyer lemon tree has "egg-like things" on leaves, blackish trunk discoloration, and ants crawling all over. The owner applied Sevin dust.


The black sooty mold will weather off once honeydew stops. It does not penetrate bark. The lichens mentioned in another answer are unrelated—they are greenish, not black.
Aphids are attracted to vigorous, nitrogen-rich growth. They are a natural part of the ecosystem. Treatment is only needed when populations cause visible damage (curling, stunting, sooty mold).
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