LOCATE and INSTR are MySQL functions to find the position of a substring inside a string. LOCATE takes the substring first, then the string, and optionally a start position to begin searching. INSTR takes the string first, then the substring, and always searches from the start. Both return the position of the first occurrence starting at 1, or 0 if the substring is not found. For example, LOCATE('cat', 'concatenate') returns 4 because 'cat' starts at the 4th character. If the substring is missing, like LOCATE('cat', 'hello world'), it returns 0. LOCATE can also start searching from a specific position, like LOCATE('na', 'banana', 4) returns 5, finding the second 'na'. These functions help find where text appears inside other text strings.