e.g. stands for exempli gratia (Latin) = for example.
For example:-
"I like fast cars, e.g. Ferrari and Porche"
In the sentence above you are simply giving an example of the kinds of cars you like - Ferraris and Porches.
i.e. stands for id est (more Latin) = that is (in explanation).
For example:-
"I like fast cars, i.e. any car that can go over 150mph."
In this second sentence you are giving an explanation of what you consider to be fast.
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