But what happens when your logical volume has taken up all the space in your volume group? You can add more physical volumes to an existing volume group, and then increase the size of your logical volume as discussed already.
First, unmount the logical volumes within your volume group. Assuming you already have physical volumes available, you can use the command vgextend home2 /dev/sda5 /dev/sda7 to add the physical volumes sda5 and sda7 to the existing volume group home2. The volume group home2 is now made up of sda3, sda5, and sda7