the increase of trade around the world, especially by large companies producing and trading goods in many different countries. My question is I couldn't find the verbs above the sentences. Can anyone explain to me? I always have trouble finding verbs and gerunds.

I am sure that you have seen many videos all over YouTube of people claiming that they got fluent in a foreign language in just three months. My question is why we use" of " after YouTube, can we use" that" instead of "Of" in this sentence? My second question is why we use gerund, "Claiming "here, should we use "to claim "or" is claiming" instead of " just using the word claiming"? I am kind of confused that why people use gerund words in these kind of sentences, are there any rules I should follow? Can anyone please explain why we use gerund here? Thanks!!

She working for the design division is talking to her friends from the research department. My question is why we use working instead works? My thinking is this sentence should be written like this " She works for the design division is talking to her friends from the research department. Is working in this sentence a gerund or Verb? Can someone please explain this to me? Thanks!

I think this sentence is wrong, isn't it? "Someone who is persistent continues doing something ." Should be someone who persistently continues doing something. Or someone who is persistently continuing doing something. Can anyone tell me about this sentence? Thanks!

What are the differences among these words? 1. I have a solution to this problem. 2. I have a resolution to this problem. 3. This problem has been resolved by him. 4. This problem has solved by him. Can you guys please explain exactly what the differences among time and how to use them correctly? I am getting so confused by these words?

How can we use these words properly in daily conversations? 1. You've got many problems that you need to face to. 2.There are so many things need to be done before in the face of the next challenge. 3. She ratted him out and implicated some of her associates in order to gain immunity from prosecution. 4. He mocked her deliberately in order to make her cry. 5. He mocked her on purpose in public in order to make her cry. 6. He was fired at the discretion of his boss. 7. He was fired at the decision that was made by his boss. 8. He was alleged of killing someone two days ago in the forest. 9. He was accused of killing someone in the house two days ago. 10. She squinted her eyes in order to see things on the blackboard more clearly. Do I use them correctly? I am trying to use these words to make some sentences. I hope someone could help me correct them and make them sound more natural.

Can I use these sentences in daily conversations? Am I using them correctly? 1.Her new hairstyle frames her face in a much more flattering way. 2.He's always making flattering remarks. 3. India has more arable lands than China does. 4. India needs another 20 years of an average GDP growth rate by 10% to reach China's GDP in 2020. Can I use these sentences in daily conversations? Am I using them correctly? If there are other better ways of saying these, please let me know. Thanks!

How to use the word lack? Sometimes we use lack of, a lack of, the lack of...I am very confused about these three ..Can anyone explain the differences among them to me by making some sentences, please? Thanks!

When should I use at? Did you like the restaurant you ate at last night? Did you like the restaurant where you ate last night? Did you like the restaurant at which you ate?