New Zealand Law
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The only way to get rid of the timeshare would be to sell it, and you appear to have tried this. In case you are not aware, there are some websites which say they act as agents to buy or sell timeshares, but it still isnt easy. If you just stop paying and they then try to sue you, you can say you were misled when you bought this as you were not aware of the difficulties in selling or stoping using the timeshare. The problem is that the Fair Trading Act has a two year limitation period although you could say that you have only recently read the constitution which was not brought to your attention when you bought this.
Please let me know if I can help further