Advanced table row filtering

Following this question, due to the difficulty in creating advanced custom filtering, I decided to follow standard filter() api route.

I successfully created a regex to match strings different from one or more strings (with this regex: ^((?!string1|string2).)*$) but i'm stuck in building the following regex:

• string alphabetically greater / greater or equal
• string alphabetically less / less or equal
• string alphabetically in range of 2 strings (that means greater or equal AND less or equal)

Could someone please provide support in doing so? I'm quite new to regex patterns...