Should I break up with her?

I am in complicated position with my girl if still mine , we had a problems between us for weeks and both of us take a less talking and ignoring way then we tried to fix it and I told her that I will change to better she should too and we decides to still together but nothing changed she keep in ignoring while I see her online and talking to other friends guys and keep on same cold treatment doesn't tell me anything about herself or try to open any conversation, that mean she totally doesn't care about me anymore or lost her respect? I am so close to broke up with her but try to catch any excuse because it's hard step for me..
Should I break up with her?
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