Belive
late Old English belȳfan, belēfan, alteration of gelēfan, of Germanic origin; related to Dutch geloven and German glauben, also to lief.
wiktionary
From Middle English beliven, from Old English belīfan(“to remain”), from Proto-West Germanic *bilīban, from Proto-Germanic *bilībaną(“to remain”), from Proto-Indo-European *leyp-(“to stick, glue”).
Cognate with West Frisian bliuwe(“to stay”), Dutch blijven(“to remain”), German bleiben(“to remain”), Danish blive(“to be, remain”). More at leave.
From Middle English belive, bilife(“actively", literally, "by life”). More at by, life.
etymonline
belive (v.)
obsolete verb from Old English belifan "remain," intransitive form of belæfan "cause to remain" (see beleave). A general Germanic compound (cognates: Old Saxon bilibhon, Gothic bileiban, Old High German biliban, German bleiben, Dutch blijven). It was confused in early Middle English with beleave and merged into it, which gave beleave two clashing senses ("to leave," also "to remain") which might be why the compound word, the cognate of important verbs in other Germanic languages, was abandoned in English and only leave (v.) remains.