Range contains one of many substrings
Generic formula
=SUMPRODUCT(COUNTIF(rng,"*"&substrings&"*"))>0
Related formulas
Value exists in a range
Range contains specific text
Range contains one of many values
Cell contains specific text
Cell contains one of many things
Explanation
To test a range and determine if it contains one of many substrings (partial matches, specific text, etc.) you can use use a formula that uses the COUNTIF wrapped in the SUMPRODUCT function.
How the formula works
All the hard work is done by the COUNTIF function, which is configured to count the values in the named range "substrings" that appear the named range "rng" with like this:
COUNTIF(rng,"*"&substrings&"*"))
By wrapping substrings in the asterisks, Excel evaluates the formula like this:
=SUMPRODUCT(COUNTIF(rng,{"*dog*";"*green*";"*sun*";"*every*"}))>0
And COUNTIF counts the values where ever they appear in the cell. Since we are giving COUNTIF multiple values to look for, we receive a count for each value in an array like this: {1;0;1;1} .
Finally, SUMPRODUCT returns the sum of all items in the array. Any result greater than zero returns TRUE.