I'll google this but can you elaborate?
Systemic insecticides are taken up by the plant via soil drench (via the roots). It doesn't harm the plant, but harms any insect that eats the plant.
As
@Adam D mentioned above, the most popular systemic is imidicloprid, which is chemically similar to nicotine. Its development and use allowed other more toxic insecticides to be taken off the market.
Since the larval stage of leaf-miners reside within a leaf, if you spray the leaf with a contact insecticide (like an insecticidal soap) you won't harm them. However once they pop out of the leaf in their adult form they can be impacted. Note that even though I mentioned leaf-mining beetles, there are a lot of other pest insects that leaf-mine, including moths and flies (though they don't cause the same damage to the leaf as adults).