What is the storage constraint for Micro SD cards on the LG Optimus L7 II
32GB is the maximum capacity for a card following the SDHC standard found in version 2.0 of the SD standard.  Cards larger than that are SDXC cards.

Unlike the compatibility issue between SDSC and SDHC, An SDXC card is likely to work on an SDHC device, especially if you reformat the card to use the FAT32 file system, rather than the default exFAT, though a high performance card (e.g. UHS) will be limited to SDHC levels of performance.