Hi Gregerr,
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You are using OpenLP in single screen mode. In this mode you can set the service up and then advance through it using the arrow keys, or the remote functionality from a smart phone. This maybe because you haven't set OpenLP up to use the second screen, or that you have the display settings on you computer set wrong.
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First of all open the "Configure OpenLP" dialog box and go to the general tab (http://manual.openlp.org/configure.html#configuring-openlp)
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In the monitors combo box you should have two options, select "Screen 2". Whilst you're here make sure "Display if a single screen" is unchecked. Click ok. OpenLP should now "project" on to the second screen.
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If you didn't have the option of "Screen 2" in the monitors combo box then you've probably set your computer up wrong. Which operating system are you using? Windows XP/Vista/7/9, Linux, or OSX (Mac). In either operating systems, the process it similar, and you want to set the screens up to extend the desktop rather than to mirror. See http://manual.openlp.org/dualmonitors.html#dualmonitors for more information.