Which words were skipped after "I’d better"?

What does "fart" mean? Is it commonly used?

A "fart" (noun) is when air comes out of one's butt. The word can also be used as a verb "to fart". Farting is often considered humorous by children or in a casual context. It is the most common word used to express a person expelling gas from their anus. The word itself is not considered rude or impolite, but it is very informal and different terms are used to describe the event in polite speech or a formal setting. Alternatives include: - to break wind - to pass gas - to cut the cheese (American colloquial) - to toot (childish) Ex: It smells really bad. Who farted? Ex: Everybody farts, but not everybody likes to talk about farting.

Is it ok to use "after the couple of days" instead of "the couple of days later"?

Yes, definitely! Both of these phrases are perfectly fine to use and won't change the meaning of the sentence. This also can apply to other sentences as well. Ex: A couple of days later/after a couple of days, we decided to name our new kitten Roy. Ex: We went to the beach a couple of days later/after a couple of days.

Can I only use the word "analyze" for an investigation? Or can I use it for a casual situation as well?

The word "analyze" isn't only used for investigations! However, you do use it in formal situations and contexts. For example, analyzing text, maybe for an essay, analyzing data on a computer, or medical analyzes. You can also use it with big concepts and ideas. Ex: I analyzed the text, but I couldn't find a good quote for my essay. Ex: The tech team came back with the data analysis for the new product. Ex: To get to my conclusion, I analyzed the meaning of life. Ex: After a thorough medical analysis, we have determined that you will be better soon.

Why is the Judge being called as an " Your Honor"? Is it an official title?

In the court setting, "your Honor" is a title of respect used to address the judge. The simple pronoun "you" cannot be used when speaking to a judge. Ex: I have a question, your Honor. Ex: Your Honor, I would like to present evidence relating to the case.

I heard "long live ~" a lot. What does "long live ~" mean?

"Long live" is an expression used to express loyalty towards a person or thing. In this video, "long live the king" is a cheer used to show their support and loyalty for the new king. It was commonly used in Britain in the past to express loyalty to the royal family, but today it is used to refer to a variety of things. Ex: Oh my god, I love chicken nuggets. Long live McDonalds! Ex: Long live the Queen!