The four usual exits
The offer that has to be assembled. The answer exists, but it is spread across four sections and a sub-page, and the visitor gives up somewhere around the third. Nothing on the page is wrong; it is just that understanding it is work.
The absent price. Not a high price: a missing one. Absence gets read as expensive and evasive, and the visitor leaves to find someone who will say a number. This is why our own bands are published.
The form that asks too early. Nine fields for someone who arrived ninety seconds ago is a proposal on a first date. Ask for the minimum that lets the next conversation happen.
The page that made them think. Any moment the visitor has to work out where to click is a moment they can decide not to. Ambiguity does not create hesitation so much as permission to stop.
Get to the one interaction faster
4SaleNames sells premium domain names, where the entire product is a search field and the entire risk is that the visitor never uses it.
So the field sits dead centre of the hero, with the promise in a single line underneath, and the extensions themselves as clickable tiles below that. Not persuasion: proximity.
Most of that traffic has bought a domain somewhere else before, which means the page is competing with a habit rather than with a competitor. Habits are not beaten by being more convincing. They are beaten by being faster.
What to instrument first
Three events, before any redesign: reached the primary call to action, started the form, submitted the form. That is enough to locate the problem to within one screen.
Started-but-not-submitted is the single most useful number on most sites, and almost nobody has it. It separates “nobody is interested” from “something in the form is wrong”, two problems with completely different fixes and no way to tell them apart from page views.
Then one qualitative pass: watch five session recordings. Five is enough: the same hesitation will show up in three of them, and you will recognise it immediately.
Instrument before you rebuild, or you will have no way to know whether the rebuild worked. A redesign without a baseline is a repaint with a budget.