The sentence "Counting on your continued support" is correct and can be used in written English. You can use this sentence to show appreciation for upcoming help or support, usually in a formal or business setting. For example, you can say: "We look forward to working with you, and are counting on your continued support.".
We are counting on your continued support for this".
The birds that learn that you are a food source count on your continued support.
While the rest of the world may have lost faith in America long ago, President Bush is counting on the continued support of Americans.
We look forward to your continued support of EHP and the Toxicogenomics section.
We look forward to your continued support in the year ahead.
Mr. Uribe, 49, who has studied at Harvard and Oxford, said he was counting on continued support from the United States to eradicate illegal drug crops and to deal with the rebels.
"In response, a fellow Sunni leader declared: 'We are determined to strike back and continue our work.' And as they do, they can count on the continued support of the United States".
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Software Engineer at Adobe, UK