Continue to exist:
— These stories die hard.

synonyms: endure, persist, prevail, run.

Roget 606: be obstinate etc. adj.; stickle, take no denial, fly in the face of facts; opinionate, be wedded to an opinion, hug a belief; have one's own way etc. (will) 600; persist etc. (persevere) 604.1; have the last word, insist on having the last word.    die hard, fight against destiny, not yield an inch, stand out.    ... show more

Roget 719: resist; not submit etc. 725; repugn^†, reluct, reluctate^†, withstand; stand up against, strive against, bear up under, bear up against, be proof against, make head against; stand, stand firm, stand one's ground, stand the brunt of, stand out; hold one's grounds, hold one's own, hold out, hold firm.    breast the wave, breast the current; stem the tide, stem the torrent; face, confront, grapple with; show a bold front etc. (courage) 861; present a front; make a stand, take one's stand.    kick, kick against; recalcitrate^†, kick against the pricks; oppose etc. 708; fly in the face of; lift the hand against etc. (attack) 716; rise up in arms etc. (war) 722; strike, turn out; draw up a round robin etc. (remonstrate) 932; revolt etc. (disobey) 742; make a riot.    prendre le mors aux dents [Fr.], take the bit between the teeth; sell one's life dearly, die hard, keep at bay; repel, repulse.    ... show more

Dutch: volharden