Hey I know it is long ago since I posted more of my text but there was so much else I had to do... I hope somebody can correct it :)

Then I took a second look at each sentence, because it often is the case that the BNC has very long sentences in which it is difficult to see where the verb is and what complement it takes. So I shortened most of the sentences, but I was very careful not to shorten too much, so that the sense of the sentence stays the same.
Then I gave them a third look and analyses which complement the verbs follows. After finishing the analyses I count how often which complement follows which verb. The next step was to arrive to a conclusion. You can see the data and the conclusion on the next sides of this elaboration.

... analysed which complement follows the verb.

... finishing the analysis, I counted ...

Everything else looks fine.

thanks and now the next paragraph :)

Data Analysis
Now we wanted to answer the research questions. We will have a closer look to the complements and try to find answers why which verb take which complement.

Conclusion:
The verb to smell took mostly Nounphrases ( [1] 34 times). 9 times we found an Adjective Phrase [2], 4 times a Prepositional Phrase [3] and one time a wh-clause complement [4], a ing-participle clause [5] and also one time without an complement [6].
We did not found the verb to smell with that- clause complement in the BNC but nethertheless you can use the verb to smell with one [7].

[1] I could smell smoke and hear the most terrible screams.
[2] But the Recycling Rose does not always smell sweet [...]
[3] […] she was afraid her new dress might soon smell of sweat like the old one.
[4] […] so that you can experience in sight, sound and smell exactly what it was like to live and work in
[5] You could smell rubber burning.
[6] Mind you, he doesn't smell -- he must have got somewhere he can go for a bath at least once.
[7] I smell that you are baking a cake.

It seems like you're looking for someone to correct the text you posted. While I'm unable to physically correct your text, I can give you some tips on how to self-correct it. Here's a breakdown of the sentences you provided:

1. "Then I took a second look at each sentence." This sentence is grammatically correct.
2. "because it often is the case that the BNC has very long sentences in which it is difficult to see where the verb is and what complement it takes." This sentence is a bit long and confusing. To improve it, you can break it down into smaller sentences. For example: "It is often the case that the BNC has very long sentences. In these sentences, it is difficult to see where the verb is and what complement it takes."
3. "So I shortened most of the sentences, but I was very careful not to shorten too much, so that the sense of the sentence stays the same." This sentence is grammatically correct.
4. "Then I gave them a third look and analyses which complement the verbs follows." This sentence is unclear. It seems like you're trying to say that you analyzed which complement follows the verbs. To make it clearer, you can rephrase it as: "Then, I analyzed which complement follows each verb."
5. "After finishing the analyses I count how often which complement follows which verb." This sentence is grammatically incorrect. It should be rephrased as: "After finishing the analyses, I counted how often each complement follows each verb."
6. "The next step was to arrive to a conclusion." This sentence is grammatically incorrect. It should be rephrased as: "The next step was to come to a conclusion."
7. "You can see the data and the conclusion on the next sides of this elaboration." This sentence is unclear. To clarify, you can say: "The data and conclusion can be found on the next pages of this elaboration."

I hope these suggestions help you improve your text.