The word "technically" is often used in a scientific/technical context, for example: A spider is technically (strictly speaking) not an insect, as it has eight legs, while insects have six, but it is studied by entomologists like an insect. "Literally" is usually used in a literary/non-scientific context, for example: He interpreted what I said - "we like clean cut people in this company" - literally (word for word, without considering context) and got a military-style crew cut.
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