Will EI remove BGA?

Hello everyone!

So here is the situation:
Like a couple months ago I started co2 running, increased light and planted much more plants than ever before to my 60L aquarium. Everything went fine for couple of weeks, but than my aquarium filled with BGA (no water change, no ferts at that time). After that I started to search for the cure and I found black-out method. Made 2 attempts, but non of it helped, so I thought "screw this aquarium!" and turned off the light and let it stay till now without any care.
A week ago I checked my aquarium most of the plants survived but not the BGA and I found my mistake which I made before - no fertilizing. So I transplanted my plants, bough few more and started EI, but BGA just came back.
Is there a hope that over time BGA will disappear?

My tank:
60L
Pressured CO2
2x15w lamps (1.8w/G)
No fishes
EI

P.S. Sorry for my language mistakes, English isn't my main language

 

Yes it's blue green algae, it's like slime which can be easily taken off. Mostly it grows on the substrate and lower plants.

 

According to drop checker my co2 level is good (green), but in the morning it gets a bit yellowish, so I have ordered CO2 Magnetic valve it should arrive tomorrow.