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I don't believe Openlp has any official dependencies collection. The Pkgbuild of jonarnold definietly includes the dependencies, but also includes many that are not really needed.
What dependencies specifically is it not resolving?
Ok... let me know.
There may be a log of the install that can be looked at. We really need to know what dependencies it's not finding.
It's possible that it's due to your version of Ubuntu, which reportedly isn't compatible with the current version of Openlp. I would take a look at the following page:
You also have to install the earlier version from the Ubuntu repositories. Did you do that? The current version won't work.