I was thinking of building this kind of "Task management" application, and thought that Liferay marketplace could by one of the channels to sell it.
I think Liferay Marketplace is a place to sell Liferay plugins rather than Liferay bundled applications. So, you just need to make your plugin available at Marketplace
without Liferay.
Also, I think you're misunderstanding LPGL. LPGL does not restrict you from selling your application, it just conditions you to distribute your source code if you modify the LPGL source code directly. In other words, if you modify Liferay and bundle your application with it, when you sell your bundled Liferay package, you also have to include all of your source code with it.
Finally, if you're worried about the license, Liferay.com offers OEM license.
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