"this implies for example" is correct and usable in written English.
You can use it to give an example that illustrates your point. For example: "This data appears to suggest a correlation between rainfall and the rate of crop growth. This implies, for example, that farmers may need to consider future rainfall patterns when choosing what type of crops to plant."
This implies, for example, that bad experiences (slow growth) in one forest do not mean that the growth of spruce understorey is always slow.
(Wilkes, 1988, p. 29) This implies, for example, that "a full psychophysiological account of the processes of human perception must at some stage link up with part at least of linguistic ability; for we typically see things under a certain description, and that description may be a very sophisticated one".
This implies, for example, that active habitat management may almost eliminate the existence of the predator pit equilibrium and thereby contribute to more stable high-density grouse populations.
This implies, for example, that dentists should not necessarily use outdated traumatizing restorative techniques but should resort to modern approaches that are adequate and atraumatic for the child.
This implies, for example, that the distribution of the sample means for the SF-36 HRQoL data shown in Figures 1 and 2 will be approximately Normal.
This implies for example that the functional mutational changes in network which shows threshold robustness will only results in small phenotypic variations in the homeostatic values of the protein products.
Within the analytical strand of political philosophy, there are roughly two different types of answers to the question: "What is the purpose of doing political philosophy?" The first answer is that political philosophy should be truth-seeking, even if that implies, for example, that political ideals such as justice, equality or democracy are unachievable.
This easily implies, for example, Cartan's classical theorem on the supremum of a locally bounded family of subharmonic functions.
This postulate implies, for example, that table tennis played on a train moving with constant velocity is just like table tennis played with the train at rest, the states of rest and motion being physically indistinguishable.
This assumption implies, for example, that all consumers would prefer shopping at Eroski or El Corte Inglés than at Auchan if prices were identical across supermarket chains.
This approach implies, for example, that measurement invariance across countries can be assumed for only some of the HRL index items and that the parameters of the other items will be left to vary freely across countries.
