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If the hinge is broken, you may not have to open and close the lid properly. It may damage the LCD screen too. So, please replace the hinge with a replacement. Either get help from a local technician to replace the hinge, or order it online and replace it yourself.
Please let me know the exact model number of the computer, so that I can help you with a manual to replace it.
E.g. Video : https://www.youtube.com/watch?v=SZfUGAgX6M8
Video 2: https://www.youtube.com/watch?v=n02YSeIB8Ac
If you are not good at replacing the part, it will be better get help from a .local technician.
S H E F I N