× And they ran away from home. (incorrect)
✓ They ran away from home. (correct)
✓ Tom saw them, and they ran away from home. (correct)
When "and" is used to connect elements within a sentence, such as in the example "Tom saw them, and they ran away from home", it is acceptable. However, if you wish to emphasize a statement or create a dramatic effect, it is sometimes acceptable to start a sentence with "and".
For example:
✓ And so, the adventure begins! (starts with "and" for dramatic effect)
✓ And it was on this day that I became a new person. (starts with "and" for dramatic effect)
It's important to use this technique sparingly and only when appropriate, as it should be used for special emphasis and not as a common grammatical rule.