If you want to search for multiple expressions while using grep you can do it, grep will use all expressions you pass to it, and will apply a logic or to them.
So, if any of them is present the line with that occurrence will be printed.
Specify multiple expressions / patterns to search for to grep
The option that will help use doing this is
grep -e pattern1 -e pattern2 -e pattern3 /folder/file
Easy as you can see.