The terminology of LVM:
Prepare the partitions and disks:
pvcreate /dev/hda4 pvcreate /dev/hdb
Create volume group of name mygroup-vol:
vgcreate mygroup-vol /dev/hda4 /dev/hdb
You should be able to see your new volume group in the vgscan output:
# vgscan Reading all physical volumes. This may take a while... Found volume group "mygroup-vol" using metadata type lvm2
Now you can create actual partitions with lvcreate, view them with lvdisplay and manage them with these and other LVM tools (their names start with lv prefix). Logical volumes can be accesed as regular devices in /dev/mygroup-vol/.
lvcreate -n test --size 1g mygroup-vol
More information in lvm(8) manpage.