I'm a deadly solution
Applied in revolution
With even distribution
On two parts in involution
Causing mass execution
Of things Lilliputian
Used by resolution
To achieve ablution
What am I?
Hint:
Look at the title again
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SOAP
I'm a deadly solution
'Solution' here could be used in the context of being an answer to a problem or of a liquid mixture (e.g. handsoap from a bottle).
Applied in revolution
With even distribution
On two parts in involution
This describes good hand-washing technique - applying soap evenly to both hands with rotating motions.
Causing mass execution
Of things Lilliputian
Soap kills the millions of microscopic ('Lilliputian') bacteria that live upon your skin!
Used by resolution
To achieve ablution
This is after all the whole point of using soap - you do it deliberately to clean your hands.
This explains the title too:
Soap kills off ('murders') the bacteria on your hands. At least you won't go to jail for this though...
I thought:
razor
for some reason, which sorta works?