How to prevent grep from printing the same string multiple times?

The Unix philosophy is to have tools that do one thing and do them well. In this case, grep is the tool that selects text from a file. To find out if there are duplicates, one sorts the text. To remove the duplicates, one uses the -u option to sort. Thus:

grep These filename | sort -u

sort has many options: see man sort. If you want to count duplicates or have a more complicated scheme for determining what is or is not a duplicate, then pipe the sort output to uniq: grep These filename | sort | uniq and see manuniq` for options.

Using grep and an additional switch, if you are looking for only a single string

grep -m1 'These' filename

---

From man grep

-m NUM, --max-count=NUM
        Stop reading a file after NUM matching lines.  If the input is
        standard input from a regular file, and NUM matching lines are
        output, grep ensures that the standard input is positioned  to
        just  after  the  last matching  line  before exiting, regardless
        of the presence of trailing context lines.  This enables a calling
        process to resume a search.  When grep stops after NUM matching
        lines, it outputs any trailing context lines.  When the -c or
        --count option is also used, grep does not output a count greater
        than NUM.  When the -v or --invert-match option is also used, grep
        stops after outputting NUM non-matching lines.

or using awk ;)

awk '/These/ {print; exit}' foo