Well the first thing that I want you to do here is that check whether the status on your Gmail chat is “available “ or not and if it is not then please make it as available because if it is offline then you will not be able to chat but this is the common thing and happens rarely so now I want you to try and check the same thing on any other browser like if you are using Firefox then use IE or opera or Vice versa I hope it will work in your case
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