To imply something means to suggest it in an indirect way, without saying it directly.
Larry's remarks implied that he'd be leaving the company soon.
The evidence seems to imply that the suspect is innocent of the crime.
To infer something is to form a conclusion from the information available (especially if the information available does not state things directly):
From Larry's remarks, I inferred that he'd probably be leaving the company soon.
Based on the evidence, the judge inferred that the suspect was innocent.
These two words describe the same event but from the two different sides (similar to lend and borrow). The speaker or writer implies a point (suggests it indirectly). The reader or listener infers a point (comes to their own conclusion after considering the indirect information).
The Russian Federal Highway connects Moscow to Yakutsk where the coldest temperature ever recorded outside Antarctica was recorded. Yakutsk is also the largest city built on continuous permafrost. Most houses are built on concrete piles because of the frozen ground. What does all this have to do with being one of the worlds most dangerous roads? Well during the winter which is approximately ten months long driving in and out of Yakutsk is subject to heavy snow ice and reduced visibility. However winter road conditions are a picnic compared to trying to navigate the Russian Federal Highway on July and August. Though many Siberian residents will tell you the highway is not paved to keep the Germans out (a tired World War II era joke) the truth is because of the permafrost there is no asphalt creating a mud induced traffic jam every time the summer rains swing Yakutsks way. Near thousand car traffic jams are not unheard of and during these back ups and travelers might pass the time while stuck in Siberian traffic by looting beating and kidnapping other travelers. Siberian mud pirates.