Not much use viewing a new aquisition through rose-tinted glasses...
Many here have experienced the pain and expense of purchasing a supposedly "freshly overhauled, top condition, good runner, etc, etc, etc" Laverda, only to stumble from one pitfall to the next. I (Keith, Red and others as well) see it every other week when a new owner brings in his freshly aquired pride and joy after it has given up only a few days/weeks after buying. Often quoting a good portion of the purchase price, or more, only to get the bike safe and roadworthy, let alone make it a good, strong and reliable runner, brings the previously high-flying owner back to earth pretty quickly. A lick of orange and some fresh chrome has mislead many in the past, and will continue to do so in the future. Shopping for a Laverda means doing your homework first, probably more so than for most other marques.
Laverda triples generally do not dissolve themselves, if a crank end is broken off (a pic would be nice!), it has seen very serious abuse in one form or another, be it through a ham-fisted backyard bodger or having been slid down the road on its side. I can assure you, a rattle gun will not snap the crank, the nut will give up long before. In addition, it can safely be assumed there will be far more damage to be found, the crank will be only the tip of the iceberg. Hence, the comment "while you're at it".
Still don't know what engine type we're discussing here. 1981 makes it a MkII, shouldn't be a nut on the RH end anyway... homework?
piet