I forgot to include these very last 2 sentences. I hope you can have a look at them, too. (I included a few phrases on grammmar, too).

1) The story is profoundly allegorical and it can be interpreted as a 19-th century version of the myth of Faust, who sells his soul to the devil in order to satisfy all his desires. (in exchange for absolute knowledge)
2) His soul can be compared to Dorian’s picture, which records the signs of time and corruption hidden behind Dorian’s eternal beauty.
3) She promised to drive me home; she denied breaking the vase; she admitted eating the cake/she confessed to eating the cake/ she congratulated me for (on?) passing my exam/ she proposed we should have a party.

Sure, I'd be happy to assist you with those sentences and the grammar phrases you mentioned. Here's a breakdown of each sentence:

1) The story is profoundly allegorical and it can be interpreted as a 19th-century version of the myth of Faust, who sells his soul to the devil in order to satisfy all his desires (in exchange for absolute knowledge).

To analyze this sentence, we can break it down into its components:
- "The story is profoundly allegorical" introduces the main idea, stating that the story holds symbolic meaning.
- "it can be interpreted as a 19th-century version of the myth of Faust" explains how the story can be seen as a reinterpretation of the Faustian myth, wherein Faust sells his soul to the devil.
- "who sells his soul to the devil in order to satisfy all his desires (in exchange for absolute knowledge)" adds further details about the myth, mentioning Faust's motivation.

To improve grammar, you can consider rewriting the sentence as:
"The story is highly allegorical and can be interpreted as a 19th-century adaptation of the Faustian myth, where the protagonist sells his soul to the devil in exchange for absolute knowledge."

2) His soul can be compared to Dorian’s picture, which records the signs of time and corruption hidden behind Dorian’s eternal beauty.

Let's break down this sentence too:
- "His soul can be compared to Dorian’s picture" suggests a comparison between the protagonist's soul and a picture of Dorian.
- "which records the signs of time and corruption hidden behind Dorian's eternal beauty" explains what the picture represents, noting its ability to capture the effects of time and hidden corruption that lie beneath Dorian's eternal beauty.

The grammar and phrasing in this sentence are already quite accurate, so there's no need for revisions.

3) She promised to drive me home; she denied breaking the vase; she admitted eating the cake/she confessed to eating the cake/ she congratulated me for (on?) passing my exam/ she proposed we should have a party.

In this case, you provided multiple phrases where grammar and wording can vary. I'll guide you through the various options for each phrase:

- "She promised to drive me home": This sentence is grammatically correct. However, you might consider providing more context to make it clearer. For example, you can use it in a conversation like, "When I asked for a ride, she promised to drive me home."

- "She denied breaking the vase": This sentence is grammatically accurate and conveys the idea that she refuted any involvement in the breaking of the vase.

- "She admitted eating the cake": This sentence is also grammatically correct and implies that she confessed to consuming the cake.

- "She confessed to eating the cake": This alternative sentence has a similar meaning to the previous one but emphasizes her confession rather than the act itself.

- "She congratulated me for (on?) passing my exam": Both "for" and "on" can be used in this context, but "for" is more commonly used. Therefore, the sentence "She congratulated me for passing my exam" is correct.

- "She proposed we should have a party": This sentence is grammatically correct. It shows that she made a suggestion for having a party.

Remember, grammar and phrasing can depend on the specific context or writing style. It's essential to consider the intended meaning and the overall flow of your writing when choosing the appropriate words and structures.