/bin/autopartition-crypto: 292: /bin/autopartition-crypto: pvs: not found
The problem is the
lvm2 package is not installed, so you need to install it manually. In the boot menu, select the Try Lubuntu option to drop to a working desktop, open
LXTerminal and install
$ sudo apt-get install lvm2
Also, remember to turn off swapping, or the installer with bitch about it later.
$ sudo swapoff -a
Now you can click the Install Lubuntu icon on the desktop. I wonder if anybody tested installing Lubuntu with LVM; Probably not.