The phrase "and often rest on" is correct and usable in written English.
It can be used to indicate that something is frequently based on or relies upon another factor or condition.
Example: "The success of the project and often rest on the collaboration between team members."
Alternatives: "and frequently depend on" or "and commonly rely on".
But because observation and evidence are crucial to the investigation of a crime – the motive for which will often rest on who someone was or what they possessed or desired – crime writers routinely provide a mass of social detail: menus, train timetables, fashion labels, shops, newspaper stories.
The right leg may be somewhat bent or straight and often rests on a lotus pedestal (padma-pitha).
Although there is considerable support for the involvement of Th17/IL-17 Th17/IL-17e sclerosin and RA (see below), evidence for its roles in the other humultipleasclerosisre circumstandial and often RAsee on the detection of high expression levels of IL-17 at sites of inflammation.
Museum credibility and auction prices often rest on the word of a relatively small number of experts who can say that a painting with a spotty paper trail is authentic, based only on their close examination.
In the East and West, the answers often rest on the opinion of whether the artistic vision in question is awesome enough or not.
Some art historians believe that this situation has fostered a lack of caution in connecting works with historical persons, and that such connections often rest on tenuous circumstantial evidence.
(Dennett, 1985, p. 12) The claim by Dennett and others is that thought experiments too often rest on prejudice and faulty common sense; they are inherently conservative, while real science will likely result in highly-counterintuitive outcomes.
Meanwhile, typical existing resource scaling management approaches often rest on single monitor category statistics and are driven by certain threshold algorithms, they usually fail to function effectively in case of dealing with complicated and unpredictable workload patterns.
The problem with making grand theories about the past is that they often rest on too few facts.
Political outcomes in China, he notes, often rest on local officials, who are evaluated on how well they maintain stability.
