Design of the search results page 
Author: Donald M.
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........... can it be modified - font, background colours etc.?
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Does this mean the shop search page?
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What's the Product Search page and how to use it
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Define which elements of the boxes are to be displayed and their graphic properties (fonts, colors, borders and margins).
>> https://guide.websitex5.com/en/support/solutions/articles/44001926865-so-k%C3%B6nnen-sie-die-suchseite-f%C3%BCr-die-produkte-ihres-onlineshops-anwenden
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For further adjustments you would have to use CSS code; the CSS experts might be able to help with this.
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Not that i know, you can set the background step3 -> select search in special pages, then use properties button on top, then select graphic.
Maybe with the expert and custom code you can do more, but have not tested this.
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Hi
No, I mean the page produced by the Search Field Object which is used to search an entire site.