Jaichind, make sure you're writing CPI(ML)L, don't want to confuse them with the CPI(ML)!
Good point. I got lazy. In Biahr CPI(ML) is really not active so CPI(ML)L is sort of THE CPI(ML) in Bihar ergo I just go with CPI(ML). The Indian extreme Left does what the extreme Left does everywhere and mimic Life of Brian and the various Judean Liberation Front splinters.
CPI(ML) is the historical party. Folded in 1970, so it's "really not active" anywhere. Formally, the CPI(ML)(L) declares itself to be the CPI(ML), of course, but in other areas, the CPI(ML)'s heirs are Naxalbaris, or trade unionists, etc...
