Last month you had an overseas holiday with some friends were you stayed at their house. They have just send you some holiday photos. Write a letter to your friends, in your letter: Thank them for the holday and the photos Explain why didn't write earlier Invite them to come and stay with you

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Dear Jane, I'm so happy to hear from you again. I missed you so
both
Correct pronoun usage
apply

It seems that there is a pronoun problem here.

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much and I can't wait to be back! I would
like
Add the particle
like to

It appears that the verb thank should be in the to-infinitive form. Consider adding the word to.

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thank you big time and Jake
in
Change preposition
for

It seems that preposition use may be incorrect here.

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accomodating
Correct your spelling
accommodating

If you don’t want accomodating to be marked as misspelled in the future, you can add it to your personal dictionary.

me in your
cozy
Change the spelling
cosy

The spelling of cozy is a non-British variant. For consistency, consider replacing it with the British English spelling.

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apartment and for letting me experience the best activities in your country.
In addition
Linking Words

Usage of linking words is important in IELTS writing. They help create clear connections between ideas in your writing. They improve the flow of your essay by showing relationships between paragraphs and sentences. Using appropriate linking words demonstrates your ability to write cohesively and will help you achieve a higher band score.

to that, the photos that you've sent me are all amazing! That will definitely serve as
remembrance
Add an article
a remembrance

The noun phrase remembrance seems to be missing a determiner before it. Consider adding an article.

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and a treasure for keeps! I wanted to apologize for not writing the
soonest
Replace the word
soon

The word soonest doesn’t seem to fit this context. Consider replacing it with a different one.

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as I got busy at work right after my vacation.
Also
Linking Words

Usage of linking words is important in IELTS writing. They help create clear connections between ideas in your writing. They improve the flow of your essay by showing relationships between paragraphs and sentences. Using appropriate linking words demonstrates your ability to write cohesively and will help you achieve a higher band score.

, I cannot find time to write an appreciation letter but was planning to make it
this
Linking Words

Usage of linking words is important in IELTS writing. They help create clear connections between ideas in your writing. They improve the flow of your essay by showing relationships between paragraphs and sentences. Using appropriate linking words demonstrates your ability to write cohesively and will help you achieve a higher band score.

weekend,
however
Linking Words

Usage of linking words is important in IELTS writing. They help create clear connections between ideas in your writing. They improve the flow of your essay by showing relationships between paragraphs and sentences. Using appropriate linking words demonstrates your ability to write cohesively and will help you achieve a higher band score.

, since you have more time than me, I received a letter from you first. Just kidding! I'm excited to announce
you
Change preposition
to you

It seems that preposition use may be incorrect here.

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both that I'll be moving
on
Change preposition
to

It seems that preposition use may be incorrect here.

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a bigger apartment next month and I would love to invite you to stay with me
on
Change preposition
in

It seems that preposition use may be incorrect here.

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the coming holidays if both of you are free. I can't wait to see you again! Take care, Andy

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Structure
Continue to use a clear structure in your writing to enhance readability. Organize your thoughts coherently, with each paragraph focusing on a single main idea.
Content
To improve your task achievement score, try to fully address all parts of the prompt in a balanced manner, ensuring that no part is overlooked.
Tone
Your letter has a personal and warmly appreciative tone, which is very suitable for the context of writing to friends. This enhances the engagement of your letter.
Organization
The clear organization of your ideas into paragraphs, each serving a distinct purpose (thanking for the holiday and photos, explaining the delay in writing, and extending an invitation), contributes positively to the coherence and cohesion of your letter.
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