Etymology
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livelong (adj.)
also live-long, of a period of time, "long, whole" c. 1400, lefe longe (day or night), from leve, lief "dear" (see lief), used here as an emotional intensive + long (adj.). From late 16c. conformed in spelling and pronunciation to live (v.) as lief grew strange. German has cognate die liebe lange (Nacht), etc., literally "the dear long (night)."
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*leubh- 

Proto-Indo-European root meaning "to care, desire, love."

It forms all or part of: belief; believe; furlough; leave (n.) "permission, liberty granted to do something;" leman; libido; lief; livelong; love; lovely; quodlibet.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit lubhyati "desires," lobhaya- "to make crazy;" Persian ahiftan "to be tangled, be hit down, be in love;" Latin lubet, later libet "pleases," libido, lubido "desire, longing; sensual passion, lust;" Old Church Slavonic l'ubu "dear, beloved," ljubiti, Russian ljubit' "to love;" Lithuanian liaupsė "song of praise;" Old English lufu "feeling of love; romantic sexual attraction," German Liebe "love," Gothic liufs "dear, beloved."

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