This should work:
sed 's/.*[0-9]c[0-9].*//g' file.txt
However as mentioned in the comment, above command will not remove the complete lines, so a better way would be to use the `d` command on matching lines instead:
sed '/[0-9]c[0-9]/d' file.txt
Or with extended regular expressions with GNU `sed` (`-E` is the preferred flag for compatibility with BSD* `sed`s):
sed -E '/^[[:blank:]]*[0-9]+[a-z]+[0-9]/d' file