I am really not sure what your question is for us.
A typical cold lasts for several days to a week or more.
There is no cures.
If you have a bad sore throat, you must rule out strep, that is most important.
For this, get a rapid strep test at your doctors or any urgent care. Strep is something you want to eradicate.
This sounds like a viral illness, but you should be getting better, noticeably after 3 to 5 days.
If not, you need further attention. You should also have your throat checked.
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