Lqueryvg bypasses LVM altogether and reads the VGDA off of any disk that is a member of a volume group. Sometimes when LVM and VGDA get out of sync with each other, the volume group information here can be a great help. Think of this information as what great read from the disk when you do an importvg.
# lqueryvg -Atp hdisk0
Max LVs: 256
PP Size: 28
Free PPs: 959
LV count: 4
PV count: 2
Total VGDAs: 3
Conc Allowed: 0
MAX PPs per PV 1016
MAX PVs: 32
Quorum (disk): 0
Quorum (dd): 0
Auto Varyon ?: 0
Conc Autovaryo 0
Varied on Conc 0
Logical: 00c1b3da00004c0000000112982a7298.1 loglv02 1
00c1b3da00004c0000000112982a7298.3 fslv00 3
00c1b3da00004c0000000112982a7298.4 fslv02 3
00c1b3da00004c0000000112982a7298.5 fslv04 3
Physical: 00cdeaeadfcd0ebc 2 0
00031691bced4a4e 1 0
Total PPs: 1617
LTG size: 128
HOT SPARE: 0
AUTO SYNC: 0
VG PERMISSION: 0
SNAPSHOT VG: 0
IS_PRIMARY VG: 0
PSNFSTPP: 4352
VARYON MODE: 0
VG Type: 0
Max PPs: 32512
#
How do you read LOGICAL? What are the three values?
The first is some sort of PVID like number, I am pretty sure you know what the second is, the logical volume name (some will have filesystems mapped to them), and the third is probably the number of logical partitions in the logical volume.